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Finding the Third Proportional to 442,123 and 900,505

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Solution

The third proportional to 442,123 and 900,505 is: 1,834,125.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,123 : 900,505 = 900,505 : x
  2. Step 2: Convert to fraction form
    442,123/900,505 = 900,505/x
  3. Step 3: Cross multiply
    442,123x = 900,505 × 900,505
  4. Step 4: Simplify right side
    442,123x = 810,909,255,025
  5. Step 5: Solve for x
    x = 810,909,255,025/442,123
  6. Step 6: Final answer
    x = 1,834,125.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.