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Finding the Third Proportional to 653,859 and 981,441

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Solution

The third proportional to 653,859 and 981,441 is: 1,473,140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,859 : 981,441 = 981,441 : x
  2. Step 2: Convert to fraction form
    653,859/981,441 = 981,441/x
  3. Step 3: Cross multiply
    653,859x = 981,441 × 981,441
  4. Step 4: Simplify right side
    653,859x = 963,226,436,481
  5. Step 5: Solve for x
    x = 963,226,436,481/653,859
  6. Step 6: Final answer
    x = 1,473,140.90

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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.