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Finding the Third Proportional to 543,878.44 and 1,152,587.81

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Solution

The third proportional to 543,878.44 and 1,152,587.81 is: 2,442,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,878.44 : 1,152,587.81 = 1,152,587.81 : x
  2. Step 2: Convert to fraction form
    543,878.44/1,152,587.81 = 1,152,587.81/x
  3. Step 3: Cross multiply
    543,878.44x = 1,152,587.81 × 1,152,587.81
  4. Step 4: Simplify right side
    543,878.44x = 1,328,458,665,523.54
  5. Step 5: Solve for x
    x = 1,328,458,665,523.54/543,878.44
  6. Step 6: Final answer
    x = 2,442,565.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.