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Finding the Third Proportional to 1,964,729.25 and 2,934,961.88

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Solution

The third proportional to 1,964,729.25 and 2,934,961.88 is: 4,384,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964,729.25 : 2,934,961.88 = 2,934,961.88 : x
  2. Step 2: Convert to fraction form
    1,964,729.25/2,934,961.88 = 2,934,961.88/x
  3. Step 3: Cross multiply
    1,964,729.25x = 2,934,961.88 × 2,934,961.88
  4. Step 4: Simplify right side
    1,964,729.25x = 8,614,001,207,703.52
  5. Step 5: Solve for x
    x = 8,614,001,207,703.52/1,964,729.25
  6. Step 6: Final answer
    x = 4,384,319.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.