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Finding the Third Proportional to 2,120,432 and 4,419,712

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Solution

The third proportional to 2,120,432 and 4,419,712 is: 9,212,204.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120,432 : 4,419,712 = 4,419,712 : x
  2. Step 2: Convert to fraction form
    2,120,432/4,419,712 = 4,419,712/x
  3. Step 3: Cross multiply
    2,120,432x = 4,419,712 × 4,419,712
  4. Step 4: Simplify right side
    2,120,432x = 19,533,854,162,944
  5. Step 5: Solve for x
    x = 19,533,854,162,944/2,120,432
  6. Step 6: Final answer
    x = 9,212,204.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.