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Finding the Third Proportional to 582,876,840 and 1,262,608,940

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Solution

The third proportional to 582,876,840 and 1,262,608,940 is: 2,735,022,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,876,840 : 1,262,608,940 = 1,262,608,940 : x
  2. Step 2: Convert to fraction form
    582,876,840/1,262,608,940 = 1,262,608,940/x
  3. Step 3: Cross multiply
    582,876,840x = 1,262,608,940 × 1,262,608,940
  4. Step 4: Simplify right side
    582,876,840x = 1,594,181,335,367,923,712
  5. Step 5: Solve for x
    x = 1,594,181,335,367,923,712/582,876,840
  6. Step 6: Final answer
    x = 2,735,022,608.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.