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Finding the Third Proportional to 360,691,624 and 787,791,218

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Solution

The third proportional to 360,691,624 and 787,791,218 is: 1,720,624,937.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,691,624 : 787,791,218 = 787,791,218 : x
  2. Step 2: Convert to fraction form
    360,691,624/787,791,218 = 787,791,218/x
  3. Step 3: Cross multiply
    360,691,624x = 787,791,218 × 787,791,218
  4. Step 4: Simplify right side
    360,691,624x = 620,615,003,157,923,584
  5. Step 5: Solve for x
    x = 620,615,003,157,923,584/360,691,624
  6. Step 6: Final answer
    x = 1,720,624,937.93

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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.