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Finding the Third Proportional to 713,944 and 951,816

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Solution

The third proportional to 713,944 and 951,816 is: 1,268,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,944 : 951,816 = 951,816 : x
  2. Step 2: Convert to fraction form
    713,944/951,816 = 951,816/x
  3. Step 3: Cross multiply
    713,944x = 951,816 × 951,816
  4. Step 4: Simplify right side
    713,944x = 905,953,697,856
  5. Step 5: Solve for x
    x = 905,953,697,856/713,944
  6. Step 6: Final answer
    x = 1,268,942.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.