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Finding the Third Proportional to 698,267 and 1,067,709

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Solution

The third proportional to 698,267 and 1,067,709 is: 1,632,616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,267 : 1,067,709 = 1,067,709 : x
  2. Step 2: Convert to fraction form
    698,267/1,067,709 = 1,067,709/x
  3. Step 3: Cross multiply
    698,267x = 1,067,709 × 1,067,709
  4. Step 4: Simplify right side
    698,267x = 1,140,002,508,681
  5. Step 5: Solve for x
    x = 1,140,002,508,681/698,267
  6. Step 6: Final answer
    x = 1,632,616.91

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