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Finding the Third Proportional to 807,920 and 1,252,708

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Solution

The third proportional to 807,920 and 1,252,708 is: 1,942,367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,920 : 1,252,708 = 1,252,708 : x
  2. Step 2: Convert to fraction form
    807,920/1,252,708 = 1,252,708/x
  3. Step 3: Cross multiply
    807,920x = 1,252,708 × 1,252,708
  4. Step 4: Simplify right side
    807,920x = 1,569,277,333,264
  5. Step 5: Solve for x
    x = 1,569,277,333,264/807,920
  6. Step 6: Final answer
    x = 1,942,367.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.