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Finding the Third Proportional to 517,460 and 1,113,608

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Solution

The third proportional to 517,460 and 1,113,608 is: 2,396,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,460 : 1,113,608 = 1,113,608 : x
  2. Step 2: Convert to fraction form
    517,460/1,113,608 = 1,113,608/x
  3. Step 3: Cross multiply
    517,460x = 1,113,608 × 1,113,608
  4. Step 4: Simplify right side
    517,460x = 1,240,122,777,664
  5. Step 5: Solve for x
    x = 1,240,122,777,664/517,460
  6. Step 6: Final answer
    x = 2,396,557.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.