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Finding the Third Proportional to 762,951.66 and 1,645,690.92

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Solution

The third proportional to 762,951.66 and 1,645,690.92 is: 3,549,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,951.66 : 1,645,690.92 = 1,645,690.92 : x
  2. Step 2: Convert to fraction form
    762,951.66/1,645,690.92 = 1,645,690.92/x
  3. Step 3: Cross multiply
    762,951.66x = 1,645,690.92 × 1,645,690.92
  4. Step 4: Simplify right side
    762,951.66x = 2,708,298,610,341.79
  5. Step 5: Solve for x
    x = 2,708,298,610,341.79/762,951.66
  6. Step 6: Final answer
    x = 3,549,764.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.