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Finding the Third Proportional to 739,413 and 1,513,854

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Solution

The third proportional to 739,413 and 1,513,854 is: 3,099,423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,413 : 1,513,854 = 1,513,854 : x
  2. Step 2: Convert to fraction form
    739,413/1,513,854 = 1,513,854/x
  3. Step 3: Cross multiply
    739,413x = 1,513,854 × 1,513,854
  4. Step 4: Simplify right side
    739,413x = 2,291,753,933,316
  5. Step 5: Solve for x
    x = 2,291,753,933,316/739,413
  6. Step 6: Final answer
    x = 3,099,423.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.