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Finding the Third Proportional to 671,712 and 1,382,832

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Solution

The third proportional to 671,712 and 1,382,832 is: 2,846,791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,712 : 1,382,832 = 1,382,832 : x
  2. Step 2: Convert to fraction form
    671,712/1,382,832 = 1,382,832/x
  3. Step 3: Cross multiply
    671,712x = 1,382,832 × 1,382,832
  4. Step 4: Simplify right side
    671,712x = 1,912,224,340,224
  5. Step 5: Solve for x
    x = 1,912,224,340,224/671,712
  6. Step 6: Final answer
    x = 2,846,791.99

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.