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Finding the Third Proportional to 821,304,953,597 and 1,207,354,715,877

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Solution

The third proportional to 821,304,953,597 and 1,207,354,715,877 is: 1,774,864,992,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,304,953,597 : 1,207,354,715,877 = 1,207,354,715,877 : x
  2. Step 2: Convert to fraction form
    821,304,953,597/1,207,354,715,877 = 1,207,354,715,877/x
  3. Step 3: Cross multiply
    821,304,953,597x = 1,207,354,715,877 × 1,207,354,715,877
  4. Step 4: Simplify right side
    821,304,953,597x = 1,457,705,409,950,431,297,142,784
  5. Step 5: Solve for x
    x = 1,457,705,409,950,431,297,142,784/821,304,953,597
  6. Step 6: Final answer
    x = 1,774,864,992,066.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.