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Finding the Third Proportional to 596,804 and 1,221,180

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Solution

The third proportional to 596,804 and 1,221,180 is: 2,498,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,804 : 1,221,180 = 1,221,180 : x
  2. Step 2: Convert to fraction form
    596,804/1,221,180 = 1,221,180/x
  3. Step 3: Cross multiply
    596,804x = 1,221,180 × 1,221,180
  4. Step 4: Simplify right side
    596,804x = 1,491,280,592,400
  5. Step 5: Solve for x
    x = 1,491,280,592,400/596,804
  6. Step 6: Final answer
    x = 2,498,777.81

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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.