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Finding the Third Proportional to 2,215,806 and 4,819,842

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Solution

The third proportional to 2,215,806 and 4,819,842 is: 10,484,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215,806 : 4,819,842 = 4,819,842 : x
  2. Step 2: Convert to fraction form
    2,215,806/4,819,842 = 4,819,842/x
  3. Step 3: Cross multiply
    2,215,806x = 4,819,842 × 4,819,842
  4. Step 4: Simplify right side
    2,215,806x = 23,230,876,904,964
  5. Step 5: Solve for x
    x = 23,230,876,904,964/2,215,806
  6. Step 6: Final answer
    x = 10,484,165.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.