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Finding the Third Proportional to 540,108 and 1,177,416

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Solution

The third proportional to 540,108 and 1,177,416 is: 2,566,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,108 : 1,177,416 = 1,177,416 : x
  2. Step 2: Convert to fraction form
    540,108/1,177,416 = 1,177,416/x
  3. Step 3: Cross multiply
    540,108x = 1,177,416 × 1,177,416
  4. Step 4: Simplify right side
    540,108x = 1,386,308,437,056
  5. Step 5: Solve for x
    x = 1,386,308,437,056/540,108
  6. Step 6: Final answer
    x = 2,566,724.50

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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.