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Finding the Third Proportional to 540,691.78 and 1,276,354.59

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Solution

The third proportional to 540,691.78 and 1,276,354.59 is: 3,012,956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,691.78 : 1,276,354.59 = 1,276,354.59 : x
  2. Step 2: Convert to fraction form
    540,691.78/1,276,354.59 = 1,276,354.59/x
  3. Step 3: Cross multiply
    540,691.78x = 1,276,354.59 × 1,276,354.59
  4. Step 4: Simplify right side
    540,691.78x = 1,629,081,048,986.73
  5. Step 5: Solve for x
    x = 1,629,081,048,986.73/540,691.78
  6. Step 6: Final answer
    x = 3,012,956.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.