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Finding the Third Proportional to 729,144 and 1,123,200

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Solution

The third proportional to 729,144 and 1,123,200 is: 1,730,218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,144 : 1,123,200 = 1,123,200 : x
  2. Step 2: Convert to fraction form
    729,144/1,123,200 = 1,123,200/x
  3. Step 3: Cross multiply
    729,144x = 1,123,200 × 1,123,200
  4. Step 4: Simplify right side
    729,144x = 1,261,578,240,000
  5. Step 5: Solve for x
    x = 1,261,578,240,000/729,144
  6. Step 6: Final answer
    x = 1,730,218.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.