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Finding the Third Proportional to 387,874 and 822,700

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Solution

The third proportional to 387,874 and 822,700 is: 1,744,987.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,874 : 822,700 = 822,700 : x
  2. Step 2: Convert to fraction form
    387,874/822,700 = 822,700/x
  3. Step 3: Cross multiply
    387,874x = 822,700 × 822,700
  4. Step 4: Simplify right side
    387,874x = 676,835,290,000
  5. Step 5: Solve for x
    x = 676,835,290,000/387,874
  6. Step 6: Final answer
    x = 1,744,987.52

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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.