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Finding the Third Proportional to 548,904.38 and 1,189,440

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Solution

The third proportional to 548,904.38 and 1,189,440 is: 2,577,438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,904.38 : 1,189,440 = 1,189,440 : x
  2. Step 2: Convert to fraction form
    548,904.38/1,189,440 = 1,189,440/x
  3. Step 3: Cross multiply
    548,904.38x = 1,189,440 × 1,189,440
  4. Step 4: Simplify right side
    548,904.38x = 1,414,767,513,600
  5. Step 5: Solve for x
    x = 1,414,767,513,600/548,904.38
  6. Step 6: Final answer
    x = 2,577,438.95

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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.