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Finding the Third Proportional to 487,764 and 1,043,325

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Solution

The third proportional to 487,764 and 1,043,325 is: 2,231,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,764 : 1,043,325 = 1,043,325 : x
  2. Step 2: Convert to fraction form
    487,764/1,043,325 = 1,043,325/x
  3. Step 3: Cross multiply
    487,764x = 1,043,325 × 1,043,325
  4. Step 4: Simplify right side
    487,764x = 1,088,527,055,625
  5. Step 5: Solve for x
    x = 1,088,527,055,625/487,764
  6. Step 6: Final answer
    x = 2,231,667.48

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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.