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Finding the Third Proportional to 633,417.75 and 981,622.13

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Solution

The third proportional to 633,417.75 and 981,622.13 is: 1,521,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,417.75 : 981,622.13 = 981,622.13 : x
  2. Step 2: Convert to fraction form
    633,417.75/981,622.13 = 981,622.13/x
  3. Step 3: Cross multiply
    633,417.75x = 981,622.13 × 981,622.13
  4. Step 4: Simplify right side
    633,417.75x = 963,581,996,289.52
  5. Step 5: Solve for x
    x = 963,581,996,289.52/633,417.75
  6. Step 6: Final answer
    x = 1,521,242.49

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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.