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Finding the Third Proportional to 857,686.50 and 1,257,882

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Solution

The third proportional to 857,686.50 and 1,257,882 is: 1,844,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,686.50 : 1,257,882 = 1,257,882 : x
  2. Step 2: Convert to fraction form
    857,686.50/1,257,882 = 1,257,882/x
  3. Step 3: Cross multiply
    857,686.50x = 1,257,882 × 1,257,882
  4. Step 4: Simplify right side
    857,686.50x = 1,582,267,125,924
  5. Step 5: Solve for x
    x = 1,582,267,125,924/857,686.50
  6. Step 6: Final answer
    x = 1,844,808.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.