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Finding the Third Proportional to 709,608 and 1,071,756

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Solution

The third proportional to 709,608 and 1,071,756 is: 1,618,726.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,608 : 1,071,756 = 1,071,756 : x
  2. Step 2: Convert to fraction form
    709,608/1,071,756 = 1,071,756/x
  3. Step 3: Cross multiply
    709,608x = 1,071,756 × 1,071,756
  4. Step 4: Simplify right side
    709,608x = 1,148,660,923,536
  5. Step 5: Solve for x
    x = 1,148,660,923,536/709,608
  6. Step 6: Final answer
    x = 1,618,726.01

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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.