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Finding the Third Proportional to 762,800 and 1,645,552

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Solution

The third proportional to 762,800 and 1,645,552 is: 3,549,870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,800 : 1,645,552 = 1,645,552 : x
  2. Step 2: Convert to fraction form
    762,800/1,645,552 = 1,645,552/x
  3. Step 3: Cross multiply
    762,800x = 1,645,552 × 1,645,552
  4. Step 4: Simplify right side
    762,800x = 2,707,841,384,704
  5. Step 5: Solve for x
    x = 2,707,841,384,704/762,800
  6. Step 6: Final answer
    x = 3,549,870.72

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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.