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Finding the Third Proportional to 391,061,494 and 849,383,534

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Solution

The third proportional to 391,061,494 and 849,383,534 is: 1,844,856,624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,061,494 : 849,383,534 = 849,383,534 : x
  2. Step 2: Convert to fraction form
    391,061,494/849,383,534 = 849,383,534/x
  3. Step 3: Cross multiply
    391,061,494x = 849,383,534 × 849,383,534
  4. Step 4: Simplify right side
    391,061,494x = 721,452,387,830,329,216
  5. Step 5: Solve for x
    x = 721,452,387,830,329,216/391,061,494
  6. Step 6: Final answer
    x = 1,844,856,624.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.