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Finding the Third Proportional to 582,469,671 and 1,251,387,054

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Solution

The third proportional to 582,469,671 and 1,251,387,054 is: 2,688,499,739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,469,671 : 1,251,387,054 = 1,251,387,054 : x
  2. Step 2: Convert to fraction form
    582,469,671/1,251,387,054 = 1,251,387,054/x
  3. Step 3: Cross multiply
    582,469,671x = 1,251,387,054 × 1,251,387,054
  4. Step 4: Simplify right side
    582,469,671x = 1,565,969,558,918,798,848
  5. Step 5: Solve for x
    x = 1,565,969,558,918,798,848/582,469,671
  6. Step 6: Final answer
    x = 2,688,499,739.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.