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Finding the Third Proportional to 709,517 and 1,071,651

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Solution

The third proportional to 709,517 and 1,071,651 is: 1,618,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,517 : 1,071,651 = 1,071,651 : x
  2. Step 2: Convert to fraction form
    709,517/1,071,651 = 1,071,651/x
  3. Step 3: Cross multiply
    709,517x = 1,071,651 × 1,071,651
  4. Step 4: Simplify right side
    709,517x = 1,148,435,865,801
  5. Step 5: Solve for x
    x = 1,148,435,865,801/709,517
  6. Step 6: Final answer
    x = 1,618,616.42

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Why These Related Problems?

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