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Finding the Third Proportional to 775,246.50 and 1,644,414

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Solution

The third proportional to 775,246.50 and 1,644,414 is: 3,488,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,246.50 : 1,644,414 = 1,644,414 : x
  2. Step 2: Convert to fraction form
    775,246.50/1,644,414 = 1,644,414/x
  3. Step 3: Cross multiply
    775,246.50x = 1,644,414 × 1,644,414
  4. Step 4: Simplify right side
    775,246.50x = 2,704,097,403,396
  5. Step 5: Solve for x
    x = 2,704,097,403,396/775,246.50
  6. Step 6: Final answer
    x = 3,488,048.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.