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Finding the Third Proportional to 681,442.88 and 1,050,595.31

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Solution

The third proportional to 681,442.88 and 1,050,595.31 is: 1,619,725.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,442.88 : 1,050,595.31 = 1,050,595.31 : x
  2. Step 2: Convert to fraction form
    681,442.88/1,050,595.31 = 1,050,595.31/x
  3. Step 3: Cross multiply
    681,442.88x = 1,050,595.31 × 1,050,595.31
  4. Step 4: Simplify right side
    681,442.88x = 1,103,750,510,646.97
  5. Step 5: Solve for x
    x = 1,103,750,510,646.97/681,442.88
  6. Step 6: Final answer
    x = 1,619,725.66

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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.