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Finding the Third Proportional to 543,481 and 1,170,065

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Solution

The third proportional to 543,481 and 1,170,065 is: 2,519,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,481 : 1,170,065 = 1,170,065 : x
  2. Step 2: Convert to fraction form
    543,481/1,170,065 = 1,170,065/x
  3. Step 3: Cross multiply
    543,481x = 1,170,065 × 1,170,065
  4. Step 4: Simplify right side
    543,481x = 1,369,052,104,225
  5. Step 5: Solve for x
    x = 1,369,052,104,225/543,481
  6. Step 6: Final answer
    x = 2,519,043.18

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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.