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Finding the Third Proportional to 658,542 and 1,415,267

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Solution

The third proportional to 658,542 and 1,415,267 is: 3,041,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,542 : 1,415,267 = 1,415,267 : x
  2. Step 2: Convert to fraction form
    658,542/1,415,267 = 1,415,267/x
  3. Step 3: Cross multiply
    658,542x = 1,415,267 × 1,415,267
  4. Step 4: Simplify right side
    658,542x = 2,002,980,681,289
  5. Step 5: Solve for x
    x = 2,002,980,681,289/658,542
  6. Step 6: Final answer
    x = 3,041,538.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.