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Finding the Third Proportional to 935,510 and 1,981,441

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Solution

The third proportional to 935,510 and 1,981,441 is: 4,196,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,510 : 1,981,441 = 1,981,441 : x
  2. Step 2: Convert to fraction form
    935,510/1,981,441 = 1,981,441/x
  3. Step 3: Cross multiply
    935,510x = 1,981,441 × 1,981,441
  4. Step 4: Simplify right side
    935,510x = 3,926,108,436,481
  5. Step 5: Solve for x
    x = 3,926,108,436,481/935,510
  6. Step 6: Final answer
    x = 4,196,757.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.