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Finding the Third Proportional to 1,727,914 and 2,432,220

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Solution

The third proportional to 1,727,914 and 2,432,220 is: 3,423,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727,914 : 2,432,220 = 2,432,220 : x
  2. Step 2: Convert to fraction form
    1,727,914/2,432,220 = 2,432,220/x
  3. Step 3: Cross multiply
    1,727,914x = 2,432,220 × 2,432,220
  4. Step 4: Simplify right side
    1,727,914x = 5,915,694,128,400
  5. Step 5: Solve for x
    x = 5,915,694,128,400/1,727,914
  6. Step 6: Final answer
    x = 3,423,604.49

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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.