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Finding the Third Proportional to 2,814,806 and 6,028,190

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Solution

The third proportional to 2,814,806 and 6,028,190 is: 12,909,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814,806 : 6,028,190 = 6,028,190 : x
  2. Step 2: Convert to fraction form
    2,814,806/6,028,190 = 6,028,190/x
  3. Step 3: Cross multiply
    2,814,806x = 6,028,190 × 6,028,190
  4. Step 4: Simplify right side
    2,814,806x = 36,339,074,676,100
  5. Step 5: Solve for x
    x = 36,339,074,676,100/2,814,806
  6. Step 6: Final answer
    x = 12,909,974.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.