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Finding the Third Proportional to 548,904 and 1,189,438

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Solution

The third proportional to 548,904 and 1,189,438 is: 2,577,432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,904 : 1,189,438 = 1,189,438 : x
  2. Step 2: Convert to fraction form
    548,904/1,189,438 = 1,189,438/x
  3. Step 3: Cross multiply
    548,904x = 1,189,438 × 1,189,438
  4. Step 4: Simplify right side
    548,904x = 1,414,762,755,844
  5. Step 5: Solve for x
    x = 1,414,762,755,844/548,904
  6. Step 6: Final answer
    x = 2,577,432.04

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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.