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Finding the Third Proportional to 587,418 and 1,271,063

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Solution

The third proportional to 587,418 and 1,271,063 is: 2,750,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,418 : 1,271,063 = 1,271,063 : x
  2. Step 2: Convert to fraction form
    587,418/1,271,063 = 1,271,063/x
  3. Step 3: Cross multiply
    587,418x = 1,271,063 × 1,271,063
  4. Step 4: Simplify right side
    587,418x = 1,615,601,149,969
  5. Step 5: Solve for x
    x = 1,615,601,149,969/587,418
  6. Step 6: Final answer
    x = 2,750,343.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.