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Finding the Third Proportional to 717,702 and 1,538,400

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Solution

The third proportional to 717,702 and 1,538,400 is: 3,297,572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,702 : 1,538,400 = 1,538,400 : x
  2. Step 2: Convert to fraction form
    717,702/1,538,400 = 1,538,400/x
  3. Step 3: Cross multiply
    717,702x = 1,538,400 × 1,538,400
  4. Step 4: Simplify right side
    717,702x = 2,366,674,560,000
  5. Step 5: Solve for x
    x = 2,366,674,560,000/717,702
  6. Step 6: Final answer
    x = 3,297,572.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.