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Finding the Third Proportional to 709,344 and 1,510,704

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Solution

The third proportional to 709,344 and 1,510,704 is: 3,217,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,344 : 1,510,704 = 1,510,704 : x
  2. Step 2: Convert to fraction form
    709,344/1,510,704 = 1,510,704/x
  3. Step 3: Cross multiply
    709,344x = 1,510,704 × 1,510,704
  4. Step 4: Simplify right side
    709,344x = 2,282,226,575,616
  5. Step 5: Solve for x
    x = 2,282,226,575,616/709,344
  6. Step 6: Final answer
    x = 3,217,376.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.