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Finding the Third Proportional to 648,226 and 981,282

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Solution

The third proportional to 648,226 and 981,282 is: 1,485,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,226 : 981,282 = 981,282 : x
  2. Step 2: Convert to fraction form
    648,226/981,282 = 981,282/x
  3. Step 3: Cross multiply
    648,226x = 981,282 × 981,282
  4. Step 4: Simplify right side
    648,226x = 962,914,363,524
  5. Step 5: Solve for x
    x = 962,914,363,524/648,226
  6. Step 6: Final answer
    x = 1,485,460.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.