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Finding the Third Proportional to 709,437 and 1,071,522

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Solution

The third proportional to 709,437 and 1,071,522 is: 1,618,409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,437 : 1,071,522 = 1,071,522 : x
  2. Step 2: Convert to fraction form
    709,437/1,071,522 = 1,071,522/x
  3. Step 3: Cross multiply
    709,437x = 1,071,522 × 1,071,522
  4. Step 4: Simplify right side
    709,437x = 1,148,159,396,484
  5. Step 5: Solve for x
    x = 1,148,159,396,484/709,437
  6. Step 6: Final answer
    x = 1,618,409.24

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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.