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Finding the Third Proportional to 817,872 and 1,760,724

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Solution

The third proportional to 817,872 and 1,760,724 is: 3,790,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,872 : 1,760,724 = 1,760,724 : x
  2. Step 2: Convert to fraction form
    817,872/1,760,724 = 1,760,724/x
  3. Step 3: Cross multiply
    817,872x = 1,760,724 × 1,760,724
  4. Step 4: Simplify right side
    817,872x = 3,100,149,004,176
  5. Step 5: Solve for x
    x = 3,100,149,004,176/817,872
  6. Step 6: Final answer
    x = 3,790,506.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.