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Finding the Third Proportional to 551,854.42 and 1,183,498.04

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Solution

The third proportional to 551,854.42 and 1,183,498.04 is: 2,538,110.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,854.42 : 1,183,498.04 = 1,183,498.04 : x
  2. Step 2: Convert to fraction form
    551,854.42/1,183,498.04 = 1,183,498.04/x
  3. Step 3: Cross multiply
    551,854.42x = 1,183,498.04 × 1,183,498.04
  4. Step 4: Simplify right side
    551,854.42x = 1,400,667,610,776.15
  5. Step 5: Solve for x
    x = 1,400,667,610,776.15/551,854.42
  6. Step 6: Final answer
    x = 2,538,110.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.