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Finding the Third Proportional to 744,654,222 and 1,199,836,320

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Solution

The third proportional to 744,654,222 and 1,199,836,320 is: 1,933,255,935.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,654,222 : 1,199,836,320 = 1,199,836,320 : x
  2. Step 2: Convert to fraction form
    744,654,222/1,199,836,320 = 1,199,836,320/x
  3. Step 3: Cross multiply
    744,654,222x = 1,199,836,320 × 1,199,836,320
  4. Step 4: Simplify right side
    744,654,222x = 1,439,607,194,791,142,400
  5. Step 5: Solve for x
    x = 1,439,607,194,791,142,400/744,654,222
  6. Step 6: Final answer
    x = 1,933,255,935.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.