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Finding the Third Proportional to 1,615,269 and 2,534,233

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Solution

The third proportional to 1,615,269 and 2,534,233 is: 3,976,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615,269 : 2,534,233 = 2,534,233 : x
  2. Step 2: Convert to fraction form
    1,615,269/2,534,233 = 2,534,233/x
  3. Step 3: Cross multiply
    1,615,269x = 2,534,233 × 2,534,233
  4. Step 4: Simplify right side
    1,615,269x = 6,422,336,898,289
  5. Step 5: Solve for x
    x = 6,422,336,898,289/1,615,269
  6. Step 6: Final answer
    x = 3,976,016.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.