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Finding the Third Proportional to 913,800,241 and 1,412,618,670

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Solution

The third proportional to 913,800,241 and 1,412,618,670 is: 2,183,728,365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,800,241 : 1,412,618,670 = 1,412,618,670 : x
  2. Step 2: Convert to fraction form
    913,800,241/1,412,618,670 = 1,412,618,670/x
  3. Step 3: Cross multiply
    913,800,241x = 1,412,618,670 × 1,412,618,670
  4. Step 4: Simplify right side
    913,800,241x = 1,995,491,506,832,568,832
  5. Step 5: Solve for x
    x = 1,995,491,506,832,568,832/913,800,241
  6. Step 6: Final answer
    x = 2,183,728,365.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.