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Finding the Third Proportional to 598,909 and 1,298,542

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Solution

The third proportional to 598,909 and 1,298,542 is: 2,815,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,909 : 1,298,542 = 1,298,542 : x
  2. Step 2: Convert to fraction form
    598,909/1,298,542 = 1,298,542/x
  3. Step 3: Cross multiply
    598,909x = 1,298,542 × 1,298,542
  4. Step 4: Simplify right side
    598,909x = 1,686,211,325,764
  5. Step 5: Solve for x
    x = 1,686,211,325,764/598,909
  6. Step 6: Final answer
    x = 2,815,471.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.