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Finding the Third Proportional to 723,840 and 951,844

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Solution

The third proportional to 723,840 and 951,844 is: 1,251,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,840 : 951,844 = 951,844 : x
  2. Step 2: Convert to fraction form
    723,840/951,844 = 951,844/x
  3. Step 3: Cross multiply
    723,840x = 951,844 × 951,844
  4. Step 4: Simplify right side
    723,840x = 906,007,000,336
  5. Step 5: Solve for x
    x = 906,007,000,336/723,840
  6. Step 6: Final answer
    x = 1,251,667.50

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.