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Finding the Third Proportional to 1,727,910 and 2,432,214

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Solution

The third proportional to 1,727,910 and 2,432,214 is: 3,423,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727,910 : 2,432,214 = 2,432,214 : x
  2. Step 2: Convert to fraction form
    1,727,910/2,432,214 = 2,432,214/x
  3. Step 3: Cross multiply
    1,727,910x = 2,432,214 × 2,432,214
  4. Step 4: Simplify right side
    1,727,910x = 5,915,664,941,796
  5. Step 5: Solve for x
    x = 5,915,664,941,796/1,727,910
  6. Step 6: Final answer
    x = 3,423,595.52

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.