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Finding the Third Proportional to 2,287,806 and 4,930,210

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Solution

The third proportional to 2,287,806 and 4,930,210 is: 10,624,576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287,806 : 4,930,210 = 4,930,210 : x
  2. Step 2: Convert to fraction form
    2,287,806/4,930,210 = 4,930,210/x
  3. Step 3: Cross multiply
    2,287,806x = 4,930,210 × 4,930,210
  4. Step 4: Simplify right side
    2,287,806x = 24,306,970,644,100
  5. Step 5: Solve for x
    x = 24,306,970,644,100/2,287,806
  6. Step 6: Final answer
    x = 10,624,576.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.