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Finding the Third Proportional to 596,806 and 1,221,190

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Solution

The third proportional to 596,806 and 1,221,190 is: 2,498,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,806 : 1,221,190 = 1,221,190 : x
  2. Step 2: Convert to fraction form
    596,806/1,221,190 = 1,221,190/x
  3. Step 3: Cross multiply
    596,806x = 1,221,190 × 1,221,190
  4. Step 4: Simplify right side
    596,806x = 1,491,305,016,100
  5. Step 5: Solve for x
    x = 1,491,305,016,100/596,806
  6. Step 6: Final answer
    x = 2,498,810.36

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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.