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Finding the Third Proportional to 403,681 and 951,589

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Solution

The third proportional to 403,681 and 951,589 is: 2,243,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,681 : 951,589 = 951,589 : x
  2. Step 2: Convert to fraction form
    403,681/951,589 = 951,589/x
  3. Step 3: Cross multiply
    403,681x = 951,589 × 951,589
  4. Step 4: Simplify right side
    403,681x = 905,521,624,921
  5. Step 5: Solve for x
    x = 905,521,624,921/403,681
  6. Step 6: Final answer
    x = 2,243,161.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.