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Finding the Third Proportional to 704,601 and 1,543,863

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Solution

The third proportional to 704,601 and 1,543,863 is: 3,382,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,601 : 1,543,863 = 1,543,863 : x
  2. Step 2: Convert to fraction form
    704,601/1,543,863 = 1,543,863/x
  3. Step 3: Cross multiply
    704,601x = 1,543,863 × 1,543,863
  4. Step 4: Simplify right side
    704,601x = 2,383,512,962,769
  5. Step 5: Solve for x
    x = 2,383,512,962,769/704,601
  6. Step 6: Final answer
    x = 3,382,783.96

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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.