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Finding the Third Proportional to 420,854 and 902,008

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Solution

The third proportional to 420,854 and 902,008 is: 1,933,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,854 : 902,008 = 902,008 : x
  2. Step 2: Convert to fraction form
    420,854/902,008 = 902,008/x
  3. Step 3: Cross multiply
    420,854x = 902,008 × 902,008
  4. Step 4: Simplify right side
    420,854x = 813,618,432,064
  5. Step 5: Solve for x
    x = 813,618,432,064/420,854
  6. Step 6: Final answer
    x = 1,933,255.79

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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.