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Finding the Third Proportional to 681,434.44 and 1,050,582.66

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Solution

The third proportional to 681,434.44 and 1,050,582.66 is: 1,619,706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,434.44 : 1,050,582.66 = 1,050,582.66 : x
  2. Step 2: Convert to fraction form
    681,434.44/1,050,582.66 = 1,050,582.66/x
  3. Step 3: Cross multiply
    681,434.44x = 1,050,582.66 × 1,050,582.66
  4. Step 4: Simplify right side
    681,434.44x = 1,103,723,917,613.31
  5. Step 5: Solve for x
    x = 1,103,723,917,613.31/681,434.44
  6. Step 6: Final answer
    x = 1,619,706.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.