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Finding the Third Proportional to 945,067.50 and 1,516,006.13

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Solution

The third proportional to 945,067.50 and 1,516,006.13 is: 2,431,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,067.50 : 1,516,006.13 = 1,516,006.13 : x
  2. Step 2: Convert to fraction form
    945,067.50/1,516,006.13 = 1,516,006.13/x
  3. Step 3: Cross multiply
    945,067.50x = 1,516,006.13 × 1,516,006.13
  4. Step 4: Simplify right side
    945,067.50x = 2,298,274,571,037.52
  5. Step 5: Solve for x
    x = 2,298,274,571,037.52/945,067.50
  6. Step 6: Final answer
    x = 2,431,862.88

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.