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Finding the Third Proportional to 539,804 and 1,161,336

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Solution

The third proportional to 539,804 and 1,161,336 is: 2,498,501.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,804 : 1,161,336 = 1,161,336 : x
  2. Step 2: Convert to fraction form
    539,804/1,161,336 = 1,161,336/x
  3. Step 3: Cross multiply
    539,804x = 1,161,336 × 1,161,336
  4. Step 4: Simplify right side
    539,804x = 1,348,701,304,896
  5. Step 5: Solve for x
    x = 1,348,701,304,896/539,804
  6. Step 6: Final answer
    x = 2,498,501.87

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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.