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Finding the Third Proportional to 935,513 and 1,981,449

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Solution

The third proportional to 935,513 and 1,981,449 is: 4,196,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,513 : 1,981,449 = 1,981,449 : x
  2. Step 2: Convert to fraction form
    935,513/1,981,449 = 1,981,449/x
  3. Step 3: Cross multiply
    935,513x = 1,981,449 × 1,981,449
  4. Step 4: Simplify right side
    935,513x = 3,926,140,139,601
  5. Step 5: Solve for x
    x = 3,926,140,139,601/935,513
  6. Step 6: Final answer
    x = 4,196,777.75

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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.