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Finding the Third Proportional to 704,603 and 1,543,867

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Solution

The third proportional to 704,603 and 1,543,867 is: 3,382,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,603 : 1,543,867 = 1,543,867 : x
  2. Step 2: Convert to fraction form
    704,603/1,543,867 = 1,543,867/x
  3. Step 3: Cross multiply
    704,603x = 1,543,867 × 1,543,867
  4. Step 4: Simplify right side
    704,603x = 2,383,525,313,689
  5. Step 5: Solve for x
    x = 2,383,525,313,689/704,603
  6. Step 6: Final answer
    x = 3,382,791.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.