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Finding the Third Proportional to 709,526 and 1,071,663

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Solution

The third proportional to 709,526 and 1,071,663 is: 1,618,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,526 : 1,071,663 = 1,071,663 : x
  2. Step 2: Convert to fraction form
    709,526/1,071,663 = 1,071,663/x
  3. Step 3: Cross multiply
    709,526x = 1,071,663 × 1,071,663
  4. Step 4: Simplify right side
    709,526x = 1,148,461,585,569
  5. Step 5: Solve for x
    x = 1,148,461,585,569/709,526
  6. Step 6: Final answer
    x = 1,618,632.14

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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.