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Finding the Third Proportional to 474,123 and 1,028,598

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Solution

The third proportional to 474,123 and 1,028,598 is: 2,231,517.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,123 : 1,028,598 = 1,028,598 : x
  2. Step 2: Convert to fraction form
    474,123/1,028,598 = 1,028,598/x
  3. Step 3: Cross multiply
    474,123x = 1,028,598 × 1,028,598
  4. Step 4: Simplify right side
    474,123x = 1,058,013,845,604
  5. Step 5: Solve for x
    x = 1,058,013,845,604/474,123
  6. Step 6: Final answer
    x = 2,231,517.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.