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Finding the Third Proportional to 484,380 and 1,061,100

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Solution

The third proportional to 484,380 and 1,061,100 is: 2,324,483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,380 : 1,061,100 = 1,061,100 : x
  2. Step 2: Convert to fraction form
    484,380/1,061,100 = 1,061,100/x
  3. Step 3: Cross multiply
    484,380x = 1,061,100 × 1,061,100
  4. Step 4: Simplify right side
    484,380x = 1,125,933,210,000
  5. Step 5: Solve for x
    x = 1,125,933,210,000/484,380
  6. Step 6: Final answer
    x = 2,324,483.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.