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Finding the Third Proportional to 418,566 and 916,755

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Solution

The third proportional to 418,566 and 916,755 is: 2,007,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,566 : 916,755 = 916,755 : x
  2. Step 2: Convert to fraction form
    418,566/916,755 = 916,755/x
  3. Step 3: Cross multiply
    418,566x = 916,755 × 916,755
  4. Step 4: Simplify right side
    418,566x = 840,439,730,025
  5. Step 5: Solve for x
    x = 840,439,730,025/418,566
  6. Step 6: Final answer
    x = 2,007,902.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.