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Finding the Third Proportional to 498,476 and 1,087,176

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Solution

The third proportional to 498,476 and 1,087,176 is: 2,371,130.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,476 : 1,087,176 = 1,087,176 : x
  2. Step 2: Convert to fraction form
    498,476/1,087,176 = 1,087,176/x
  3. Step 3: Cross multiply
    498,476x = 1,087,176 × 1,087,176
  4. Step 4: Simplify right side
    498,476x = 1,181,951,654,976
  5. Step 5: Solve for x
    x = 1,181,951,654,976/498,476
  6. Step 6: Final answer
    x = 2,371,130.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.