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Finding the Third Proportional to 976,020 and 2,114,952

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Solution

The third proportional to 976,020 and 2,114,952 is: 4,582,920.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,020 : 2,114,952 = 2,114,952 : x
  2. Step 2: Convert to fraction form
    976,020/2,114,952 = 2,114,952/x
  3. Step 3: Cross multiply
    976,020x = 2,114,952 × 2,114,952
  4. Step 4: Simplify right side
    976,020x = 4,473,021,962,304
  5. Step 5: Solve for x
    x = 4,473,021,962,304/976,020
  6. Step 6: Final answer
    x = 4,582,920.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.