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Finding the Third Proportional to 817,920 and 1,239,552

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Solution

The third proportional to 817,920 and 1,239,552 is: 1,878,532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,920 : 1,239,552 = 1,239,552 : x
  2. Step 2: Convert to fraction form
    817,920/1,239,552 = 1,239,552/x
  3. Step 3: Cross multiply
    817,920x = 1,239,552 × 1,239,552
  4. Step 4: Simplify right side
    817,920x = 1,536,489,160,704
  5. Step 5: Solve for x
    x = 1,536,489,160,704/817,920
  6. Step 6: Final answer
    x = 1,878,532.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.