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Finding the Third Proportional to 654,376 and 981,564

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Solution

The third proportional to 654,376 and 981,564 is: 1,472,346

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,376 : 981,564 = 981,564 : x
  2. Step 2: Convert to fraction form
    654,376/981,564 = 981,564/x
  3. Step 3: Cross multiply
    654,376x = 981,564 × 981,564
  4. Step 4: Simplify right side
    654,376x = 963,467,886,096
  5. Step 5: Solve for x
    x = 963,467,886,096/654,376
  6. Step 6: Final answer
    x = 1,472,346

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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.