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Finding the Third Proportional to 498,658 and 1,102,288

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Solution

The third proportional to 498,658 and 1,102,288 is: 2,436,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,658 : 1,102,288 = 1,102,288 : x
  2. Step 2: Convert to fraction form
    498,658/1,102,288 = 1,102,288/x
  3. Step 3: Cross multiply
    498,658x = 1,102,288 × 1,102,288
  4. Step 4: Simplify right side
    498,658x = 1,215,038,834,944
  5. Step 5: Solve for x
    x = 1,215,038,834,944/498,658
  6. Step 6: Final answer
    x = 2,436,617.55

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.