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Finding the Third Proportional to 807,729 and 1,267,200

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Solution

The third proportional to 807,729 and 1,267,200 is: 1,988,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,729 : 1,267,200 = 1,267,200 : x
  2. Step 2: Convert to fraction form
    807,729/1,267,200 = 1,267,200/x
  3. Step 3: Cross multiply
    807,729x = 1,267,200 × 1,267,200
  4. Step 4: Simplify right side
    807,729x = 1,605,795,840,000
  5. Step 5: Solve for x
    x = 1,605,795,840,000/807,729
  6. Step 6: Final answer
    x = 1,988,037.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.