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Finding the Third Proportional to 932,976 and 2,034,775

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Solution

The third proportional to 932,976 and 2,034,775 is: 4,437,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,976 : 2,034,775 = 2,034,775 : x
  2. Step 2: Convert to fraction form
    932,976/2,034,775 = 2,034,775/x
  3. Step 3: Cross multiply
    932,976x = 2,034,775 × 2,034,775
  4. Step 4: Simplify right side
    932,976x = 4,140,309,300,625
  5. Step 5: Solve for x
    x = 4,140,309,300,625/932,976
  6. Step 6: Final answer
    x = 4,437,744.70

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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.