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Finding the Third Proportional to 761,872 and 1,659,200

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Solution

The third proportional to 761,872 and 1,659,200 is: 3,613,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,872 : 1,659,200 = 1,659,200 : x
  2. Step 2: Convert to fraction form
    761,872/1,659,200 = 1,659,200/x
  3. Step 3: Cross multiply
    761,872x = 1,659,200 × 1,659,200
  4. Step 4: Simplify right side
    761,872x = 2,752,944,640,000
  5. Step 5: Solve for x
    x = 2,752,944,640,000/761,872
  6. Step 6: Final answer
    x = 3,613,395.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.