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Finding the Third Proportional to 1,229,432 and 2,519,560

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Solution

The third proportional to 1,229,432 and 2,519,560 is: 5,163,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,432 : 2,519,560 = 2,519,560 : x
  2. Step 2: Convert to fraction form
    1,229,432/2,519,560 = 2,519,560/x
  3. Step 3: Cross multiply
    1,229,432x = 2,519,560 × 2,519,560
  4. Step 4: Simplify right side
    1,229,432x = 6,348,182,593,600
  5. Step 5: Solve for x
    x = 6,348,182,593,600/1,229,432
  6. Step 6: Final answer
    x = 5,163,508.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.