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Finding the Third Proportional to 981,545 and 1,473,356

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Solution

The third proportional to 981,545 and 1,473,356 is: 2,211,592.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,545 : 1,473,356 = 1,473,356 : x
  2. Step 2: Convert to fraction form
    981,545/1,473,356 = 1,473,356/x
  3. Step 3: Cross multiply
    981,545x = 1,473,356 × 1,473,356
  4. Step 4: Simplify right side
    981,545x = 2,170,777,902,736
  5. Step 5: Solve for x
    x = 2,170,777,902,736/981,545
  6. Step 6: Final answer
    x = 2,211,592.85

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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.