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Finding the Third Proportional to 441,856 and 945,632

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Solution

The third proportional to 441,856 and 945,632 is: 2,023,781.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,856 : 945,632 = 945,632 : x
  2. Step 2: Convert to fraction form
    441,856/945,632 = 945,632/x
  3. Step 3: Cross multiply
    441,856x = 945,632 × 945,632
  4. Step 4: Simplify right side
    441,856x = 894,219,879,424
  5. Step 5: Solve for x
    x = 894,219,879,424/441,856
  6. Step 6: Final answer
    x = 2,023,781.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.