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Finding the Third Proportional to 951,024 and 1,981,752

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Solution

The third proportional to 951,024 and 1,981,752 is: 4,129,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,024 : 1,981,752 = 1,981,752 : x
  2. Step 2: Convert to fraction form
    951,024/1,981,752 = 1,981,752/x
  3. Step 3: Cross multiply
    951,024x = 1,981,752 × 1,981,752
  4. Step 4: Simplify right side
    951,024x = 3,927,340,989,504
  5. Step 5: Solve for x
    x = 3,927,340,989,504/951,024
  6. Step 6: Final answer
    x = 4,129,591.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.