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Finding the Third Proportional to 747,216 and 1,027,512

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Solution

The third proportional to 747,216 and 1,027,512 is: 1,412,952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,216 : 1,027,512 = 1,027,512 : x
  2. Step 2: Convert to fraction form
    747,216/1,027,512 = 1,027,512/x
  3. Step 3: Cross multiply
    747,216x = 1,027,512 × 1,027,512
  4. Step 4: Simplify right side
    747,216x = 1,055,780,910,144
  5. Step 5: Solve for x
    x = 1,055,780,910,144/747,216
  6. Step 6: Final answer
    x = 1,412,952.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.