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Finding the Third Proportional to 610,744 and 1,329,908

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Solution

The third proportional to 610,744 and 1,329,908 is: 2,895,902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,744 : 1,329,908 = 1,329,908 : x
  2. Step 2: Convert to fraction form
    610,744/1,329,908 = 1,329,908/x
  3. Step 3: Cross multiply
    610,744x = 1,329,908 × 1,329,908
  4. Step 4: Simplify right side
    610,744x = 1,768,655,288,464
  5. Step 5: Solve for x
    x = 1,768,655,288,464/610,744
  6. Step 6: Final answer
    x = 2,895,902.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.