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Finding the Third Proportional to 578,342 and 1,253,203

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Solution

The third proportional to 578,342 and 1,253,203 is: 2,715,551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,342 : 1,253,203 = 1,253,203 : x
  2. Step 2: Convert to fraction form
    578,342/1,253,203 = 1,253,203/x
  3. Step 3: Cross multiply
    578,342x = 1,253,203 × 1,253,203
  4. Step 4: Simplify right side
    578,342x = 1,570,517,759,209
  5. Step 5: Solve for x
    x = 1,570,517,759,209/578,342
  6. Step 6: Final answer
    x = 2,715,551.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.