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Finding the Third Proportional to 807,924 and 1,252,713

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Solution

The third proportional to 807,924 and 1,252,713 is: 1,942,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,924 : 1,252,713 = 1,252,713 : x
  2. Step 2: Convert to fraction form
    807,924/1,252,713 = 1,252,713/x
  3. Step 3: Cross multiply
    807,924x = 1,252,713 × 1,252,713
  4. Step 4: Simplify right side
    807,924x = 1,569,289,860,369
  5. Step 5: Solve for x
    x = 1,569,289,860,369/807,924
  6. Step 6: Final answer
    x = 1,942,373.12

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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.