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Finding the Third Proportional to 613,512 and 1,432,890

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Solution

The third proportional to 613,512 and 1,432,890 is: 3,346,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,512 : 1,432,890 = 1,432,890 : x
  2. Step 2: Convert to fraction form
    613,512/1,432,890 = 1,432,890/x
  3. Step 3: Cross multiply
    613,512x = 1,432,890 × 1,432,890
  4. Step 4: Simplify right side
    613,512x = 2,053,173,752,100
  5. Step 5: Solve for x
    x = 2,053,173,752,100/613,512
  6. Step 6: Final answer
    x = 3,346,591.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.