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Finding the Third Proportional to 440,478 and 950,940

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Solution

The third proportional to 440,478 and 950,940 is: 2,052,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,478 : 950,940 = 950,940 : x
  2. Step 2: Convert to fraction form
    440,478/950,940 = 950,940/x
  3. Step 3: Cross multiply
    440,478x = 950,940 × 950,940
  4. Step 4: Simplify right side
    440,478x = 904,286,883,600
  5. Step 5: Solve for x
    x = 904,286,883,600/440,478
  6. Step 6: Final answer
    x = 2,052,967.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.