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Finding the Third Proportional to 540,448 and 1,173,200

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Solution

The third proportional to 540,448 and 1,173,200 is: 2,546,772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,448 : 1,173,200 = 1,173,200 : x
  2. Step 2: Convert to fraction form
    540,448/1,173,200 = 1,173,200/x
  3. Step 3: Cross multiply
    540,448x = 1,173,200 × 1,173,200
  4. Step 4: Simplify right side
    540,448x = 1,376,398,240,000
  5. Step 5: Solve for x
    x = 1,376,398,240,000/540,448
  6. Step 6: Final answer
    x = 2,546,772.75

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