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Finding the Third Proportional to 1,534,211 and 2,301,317

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Solution

The third proportional to 1,534,211 and 2,301,317 is: 3,451,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,211 : 2,301,317 = 2,301,317 : x
  2. Step 2: Convert to fraction form
    1,534,211/2,301,317 = 2,301,317/x
  3. Step 3: Cross multiply
    1,534,211x = 2,301,317 × 2,301,317
  4. Step 4: Simplify right side
    1,534,211x = 5,296,059,934,489
  5. Step 5: Solve for x
    x = 5,296,059,934,489/1,534,211
  6. Step 6: Final answer
    x = 3,451,976.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.