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Finding the Third Proportional to 498,984 and 1,083,262

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Solution

The third proportional to 498,984 and 1,083,262 is: 2,351,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,984 : 1,083,262 = 1,083,262 : x
  2. Step 2: Convert to fraction form
    498,984/1,083,262 = 1,083,262/x
  3. Step 3: Cross multiply
    498,984x = 1,083,262 × 1,083,262
  4. Step 4: Simplify right side
    498,984x = 1,173,456,560,644
  5. Step 5: Solve for x
    x = 1,173,456,560,644/498,984
  6. Step 6: Final answer
    x = 2,351,691.76

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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.