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Finding the Third Proportional to 932,418 and 1,415,811

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Solution

The third proportional to 932,418 and 1,415,811 is: 2,149,809.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,418 : 1,415,811 = 1,415,811 : x
  2. Step 2: Convert to fraction form
    932,418/1,415,811 = 1,415,811/x
  3. Step 3: Cross multiply
    932,418x = 1,415,811 × 1,415,811
  4. Step 4: Simplify right side
    932,418x = 2,004,520,787,721
  5. Step 5: Solve for x
    x = 2,004,520,787,721/932,418
  6. Step 6: Final answer
    x = 2,149,809.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.