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Finding the Third Proportional to 713,910 and 951,777

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Solution

The third proportional to 713,910 and 951,777 is: 1,268,898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,910 : 951,777 = 951,777 : x
  2. Step 2: Convert to fraction form
    713,910/951,777 = 951,777/x
  3. Step 3: Cross multiply
    713,910x = 951,777 × 951,777
  4. Step 4: Simplify right side
    713,910x = 905,879,457,729
  5. Step 5: Solve for x
    x = 905,879,457,729/713,910
  6. Step 6: Final answer
    x = 1,268,898.68

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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.