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Finding the Third Proportional to 698,193.84 and 1,067,597.72

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Solution

The third proportional to 698,193.84 and 1,067,597.72 is: 1,632,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,193.84 : 1,067,597.72 = 1,067,597.72 : x
  2. Step 2: Convert to fraction form
    698,193.84/1,067,597.72 = 1,067,597.72/x
  3. Step 3: Cross multiply
    698,193.84x = 1,067,597.72 × 1,067,597.72
  4. Step 4: Simplify right side
    698,193.84x = 1,139,764,889,080.20
  5. Step 5: Solve for x
    x = 1,139,764,889,080.20/698,193.84
  6. Step 6: Final answer
    x = 1,632,447.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.