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Finding the Third Proportional to 540,165 and 1,177,524

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Solution

The third proportional to 540,165 and 1,177,524 is: 2,566,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,165 : 1,177,524 = 1,177,524 : x
  2. Step 2: Convert to fraction form
    540,165/1,177,524 = 1,177,524/x
  3. Step 3: Cross multiply
    540,165x = 1,177,524 × 1,177,524
  4. Step 4: Simplify right side
    540,165x = 1,386,562,770,576
  5. Step 5: Solve for x
    x = 1,386,562,770,576/540,165
  6. Step 6: Final answer
    x = 2,566,924.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.