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Finding the Third Proportional to 960,080 and 1,546,527

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Solution

The third proportional to 960,080 and 1,546,527 is: 2,491,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,080 : 1,546,527 = 1,546,527 : x
  2. Step 2: Convert to fraction form
    960,080/1,546,527 = 1,546,527/x
  3. Step 3: Cross multiply
    960,080x = 1,546,527 × 1,546,527
  4. Step 4: Simplify right side
    960,080x = 2,391,745,761,729
  5. Step 5: Solve for x
    x = 2,391,745,761,729/960,080
  6. Step 6: Final answer
    x = 2,491,194.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.