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Finding the Third Proportional to 981,561.47 and 1,466,478.70

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Solution

The third proportional to 981,561.47 and 1,466,478.70 is: 2,190,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,561.47 : 1,466,478.70 = 1,466,478.70 : x
  2. Step 2: Convert to fraction form
    981,561.47/1,466,478.70 = 1,466,478.70/x
  3. Step 3: Cross multiply
    981,561.47x = 1,466,478.70 × 1,466,478.70
  4. Step 4: Simplify right side
    981,561.47x = 2,150,559,786,719.18
  5. Step 5: Solve for x
    x = 2,150,559,786,719.18/981,561.47
  6. Step 6: Final answer
    x = 2,190,957.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.