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Finding the Third Proportional to 539,463 and 1,180,517.25

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Solution

The third proportional to 539,463 and 1,180,517.25 is: 2,583,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,463 : 1,180,517.25 = 1,180,517.25 : x
  2. Step 2: Convert to fraction form
    539,463/1,180,517.25 = 1,180,517.25/x
  3. Step 3: Cross multiply
    539,463x = 1,180,517.25 × 1,180,517.25
  4. Step 4: Simplify right side
    539,463x = 1,393,620,977,547.56
  5. Step 5: Solve for x
    x = 1,393,620,977,547.56/539,463
  6. Step 6: Final answer
    x = 2,583,348.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.