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Finding the Third Proportional to 635,917 and 1,347,650

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Solution

The third proportional to 635,917 and 1,347,650 is: 2,855,971.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,917 : 1,347,650 = 1,347,650 : x
  2. Step 2: Convert to fraction form
    635,917/1,347,650 = 1,347,650/x
  3. Step 3: Cross multiply
    635,917x = 1,347,650 × 1,347,650
  4. Step 4: Simplify right side
    635,917x = 1,816,160,522,500
  5. Step 5: Solve for x
    x = 1,816,160,522,500/635,917
  6. Step 6: Final answer
    x = 2,855,971.02

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.