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Finding the Third Proportional to 709,814 and 1,073,193

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Solution

The third proportional to 709,814 and 1,073,193 is: 1,622,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,814 : 1,073,193 = 1,073,193 : x
  2. Step 2: Convert to fraction form
    709,814/1,073,193 = 1,073,193/x
  3. Step 3: Cross multiply
    709,814x = 1,073,193 × 1,073,193
  4. Step 4: Simplify right side
    709,814x = 1,151,743,215,249
  5. Step 5: Solve for x
    x = 1,151,743,215,249/709,814
  6. Step 6: Final answer
    x = 1,622,598.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.