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Finding the Third Proportional to 485,482 and 1,056,180

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Solution

The third proportional to 485,482 and 1,056,180 is: 2,297,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,482 : 1,056,180 = 1,056,180 : x
  2. Step 2: Convert to fraction form
    485,482/1,056,180 = 1,056,180/x
  3. Step 3: Cross multiply
    485,482x = 1,056,180 × 1,056,180
  4. Step 4: Simplify right side
    485,482x = 1,115,516,192,400
  5. Step 5: Solve for x
    x = 1,115,516,192,400/485,482
  6. Step 6: Final answer
    x = 2,297,749.85

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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.