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Finding the Third Proportional to 442,870 and 1,034,456

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Solution

The third proportional to 442,870 and 1,034,456 is: 2,416,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,870 : 1,034,456 = 1,034,456 : x
  2. Step 2: Convert to fraction form
    442,870/1,034,456 = 1,034,456/x
  3. Step 3: Cross multiply
    442,870x = 1,034,456 × 1,034,456
  4. Step 4: Simplify right side
    442,870x = 1,070,099,215,936
  5. Step 5: Solve for x
    x = 1,070,099,215,936/442,870
  6. Step 6: Final answer
    x = 2,416,282.92

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.