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Finding the Third Proportional to 540,110 and 1,177,420

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Solution

The third proportional to 540,110 and 1,177,420 is: 2,566,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,110 : 1,177,420 = 1,177,420 : x
  2. Step 2: Convert to fraction form
    540,110/1,177,420 = 1,177,420/x
  3. Step 3: Cross multiply
    540,110x = 1,177,420 × 1,177,420
  4. Step 4: Simplify right side
    540,110x = 1,386,317,856,400
  5. Step 5: Solve for x
    x = 1,386,317,856,400/540,110
  6. Step 6: Final answer
    x = 2,566,732.44

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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.