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Finding the Third Proportional to 709,464 and 1,101,510

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Solution

The third proportional to 709,464 and 1,101,510 is: 1,710,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,464 : 1,101,510 = 1,101,510 : x
  2. Step 2: Convert to fraction form
    709,464/1,101,510 = 1,101,510/x
  3. Step 3: Cross multiply
    709,464x = 1,101,510 × 1,101,510
  4. Step 4: Simplify right side
    709,464x = 1,213,324,280,100
  5. Step 5: Solve for x
    x = 1,213,324,280,100/709,464
  6. Step 6: Final answer
    x = 1,710,198.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.