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Finding the Third Proportional to 974,593.13 and 1,461,889.69

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Solution

The third proportional to 974,593.13 and 1,461,889.69 is: 2,192,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,593.13 : 1,461,889.69 = 1,461,889.69 : x
  2. Step 2: Convert to fraction form
    974,593.13/1,461,889.69 = 1,461,889.69/x
  3. Step 3: Cross multiply
    974,593.13x = 1,461,889.69 × 1,461,889.69
  4. Step 4: Simplify right side
    974,593.13x = 2,137,121,458,418.85
  5. Step 5: Solve for x
    x = 2,137,121,458,418.85/974,593.13
  6. Step 6: Final answer
    x = 2,192,834.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.