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Finding the Third Proportional to 976,398,858 and 1,473,678,252

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Solution

The third proportional to 976,398,858 and 1,473,678,252 is: 2,224,221,764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,398,858 : 1,473,678,252 = 1,473,678,252 : x
  2. Step 2: Convert to fraction form
    976,398,858/1,473,678,252 = 1,473,678,252/x
  3. Step 3: Cross multiply
    976,398,858x = 1,473,678,252 × 1,473,678,252
  4. Step 4: Simplify right side
    976,398,858x = 2,171,727,590,417,775,616
  5. Step 5: Solve for x
    x = 2,171,727,590,417,775,616/976,398,858
  6. Step 6: Final answer
    x = 2,224,221,764.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.