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Finding the Third Proportional to 775,761 and 1,644,822

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Solution

The third proportional to 775,761 and 1,644,822 is: 3,487,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,761 : 1,644,822 = 1,644,822 : x
  2. Step 2: Convert to fraction form
    775,761/1,644,822 = 1,644,822/x
  3. Step 3: Cross multiply
    775,761x = 1,644,822 × 1,644,822
  4. Step 4: Simplify right side
    775,761x = 2,705,439,411,684
  5. Step 5: Solve for x
    x = 2,705,439,411,684/775,761
  6. Step 6: Final answer
    x = 3,487,465.10

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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.