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Finding the Third Proportional to 713,986 and 951,875

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Solution

The third proportional to 713,986 and 951,875 is: 1,269,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,986 : 951,875 = 951,875 : x
  2. Step 2: Convert to fraction form
    713,986/951,875 = 951,875/x
  3. Step 3: Cross multiply
    713,986x = 951,875 × 951,875
  4. Step 4: Simplify right side
    713,986x = 906,066,015,625
  5. Step 5: Solve for x
    x = 906,066,015,625/713,986
  6. Step 6: Final answer
    x = 1,269,024.90

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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.