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Finding the Third Proportional to 420,232 and 971,848

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Solution

The third proportional to 420,232 and 971,848 is: 2,247,540.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,232 : 971,848 = 971,848 : x
  2. Step 2: Convert to fraction form
    420,232/971,848 = 971,848/x
  3. Step 3: Cross multiply
    420,232x = 971,848 × 971,848
  4. Step 4: Simplify right side
    420,232x = 944,488,535,104
  5. Step 5: Solve for x
    x = 944,488,535,104/420,232
  6. Step 6: Final answer
    x = 2,247,540.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.