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Finding the Third Proportional to 340,691,160 and 741,169,416

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Solution

The third proportional to 340,691,160 and 741,169,416 is: 1,612,404,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,691,160 : 741,169,416 = 741,169,416 : x
  2. Step 2: Convert to fraction form
    340,691,160/741,169,416 = 741,169,416/x
  3. Step 3: Cross multiply
    340,691,160x = 741,169,416 × 741,169,416
  4. Step 4: Simplify right side
    340,691,160x = 549,332,103,213,781,056
  5. Step 5: Solve for x
    x = 549,332,103,213,781,056/340,691,160
  6. Step 6: Final answer
    x = 1,612,404,921.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.