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Finding the Third Proportional to 540,438 and 1,173,180

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Solution

The third proportional to 540,438 and 1,173,180 is: 2,546,733.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,438 : 1,173,180 = 1,173,180 : x
  2. Step 2: Convert to fraction form
    540,438/1,173,180 = 1,173,180/x
  3. Step 3: Cross multiply
    540,438x = 1,173,180 × 1,173,180
  4. Step 4: Simplify right side
    540,438x = 1,376,351,312,400
  5. Step 5: Solve for x
    x = 1,376,351,312,400/540,438
  6. Step 6: Final answer
    x = 2,546,733.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.