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Finding the Third Proportional to 814,916 and 1,770,071

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Solution

The third proportional to 814,916 and 1,770,071 is: 3,844,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,916 : 1,770,071 = 1,770,071 : x
  2. Step 2: Convert to fraction form
    814,916/1,770,071 = 1,770,071/x
  3. Step 3: Cross multiply
    814,916x = 1,770,071 × 1,770,071
  4. Step 4: Simplify right side
    814,916x = 3,133,151,345,041
  5. Step 5: Solve for x
    x = 3,133,151,345,041/814,916
  6. Step 6: Final answer
    x = 3,844,753.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.