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Finding the Third Proportional to 698,214 and 1,067,611

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Solution

The third proportional to 698,214 and 1,067,611 is: 1,632,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,214 : 1,067,611 = 1,067,611 : x
  2. Step 2: Convert to fraction form
    698,214/1,067,611 = 1,067,611/x
  3. Step 3: Cross multiply
    698,214x = 1,067,611 × 1,067,611
  4. Step 4: Simplify right side
    698,214x = 1,139,793,247,321
  5. Step 5: Solve for x
    x = 1,139,793,247,321/698,214
  6. Step 6: Final answer
    x = 1,632,441.12

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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.