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Finding the Third Proportional to 1,077,197 and 1,670,233

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Solution

The third proportional to 1,077,197 and 1,670,233 is: 2,589,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,197 : 1,670,233 = 1,670,233 : x
  2. Step 2: Convert to fraction form
    1,077,197/1,670,233 = 1,670,233/x
  3. Step 3: Cross multiply
    1,077,197x = 1,670,233 × 1,670,233
  4. Step 4: Simplify right side
    1,077,197x = 2,789,678,274,289
  5. Step 5: Solve for x
    x = 2,789,678,274,289/1,077,197
  6. Step 6: Final answer
    x = 2,589,756.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.