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Finding the Third Proportional to 913,800,242 and 1,412,618,674

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Solution

The third proportional to 913,800,242 and 1,412,618,674 is: 2,183,728,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,800,242 : 1,412,618,674 = 1,412,618,674 : x
  2. Step 2: Convert to fraction form
    913,800,242/1,412,618,674 = 1,412,618,674/x
  3. Step 3: Cross multiply
    913,800,242x = 1,412,618,674 × 1,412,618,674
  4. Step 4: Simplify right side
    913,800,242x = 1,995,491,518,133,518,336
  5. Step 5: Solve for x
    x = 1,995,491,518,133,518,336/913,800,242
  6. Step 6: Final answer
    x = 2,183,728,375.65

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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.