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Finding the Third Proportional to 442,728 and 949,959

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Solution

The third proportional to 442,728 and 949,959 is: 2,038,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,728 : 949,959 = 949,959 : x
  2. Step 2: Convert to fraction form
    442,728/949,959 = 949,959/x
  3. Step 3: Cross multiply
    442,728x = 949,959 × 949,959
  4. Step 4: Simplify right side
    442,728x = 902,422,101,681
  5. Step 5: Solve for x
    x = 902,422,101,681/442,728
  6. Step 6: Final answer
    x = 2,038,321.73

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Why These Related Problems?

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