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Finding the Third Proportional to 594,097.88 and 1,277,758.13

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Solution

The third proportional to 594,097.88 and 1,277,758.13 is: 2,748,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,097.88 : 1,277,758.13 = 1,277,758.13 : x
  2. Step 2: Convert to fraction form
    594,097.88/1,277,758.13 = 1,277,758.13/x
  3. Step 3: Cross multiply
    594,097.88x = 1,277,758.13 × 1,277,758.13
  4. Step 4: Simplify right side
    594,097.88x = 1,632,665,826,003.52
  5. Step 5: Solve for x
    x = 1,632,665,826,003.52/594,097.88
  6. Step 6: Final answer
    x = 2,748,142.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.