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Finding the Third Proportional to 801,967 and 1,166,863

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Solution

The third proportional to 801,967 and 1,166,863 is: 1,697,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,967 : 1,166,863 = 1,166,863 : x
  2. Step 2: Convert to fraction form
    801,967/1,166,863 = 1,166,863/x
  3. Step 3: Cross multiply
    801,967x = 1,166,863 × 1,166,863
  4. Step 4: Simplify right side
    801,967x = 1,361,569,260,769
  5. Step 5: Solve for x
    x = 1,361,569,260,769/801,967
  6. Step 6: Final answer
    x = 1,697,787.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.