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Finding the Third Proportional to 723,881 and 1,543,948

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Solution

The third proportional to 723,881 and 1,543,948 is: 3,293,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,881 : 1,543,948 = 1,543,948 : x
  2. Step 2: Convert to fraction form
    723,881/1,543,948 = 1,543,948/x
  3. Step 3: Cross multiply
    723,881x = 1,543,948 × 1,543,948
  4. Step 4: Simplify right side
    723,881x = 2,383,775,426,704
  5. Step 5: Solve for x
    x = 2,383,775,426,704/723,881
  6. Step 6: Final answer
    x = 3,293,048.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.