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Finding the Third Proportional to 468,626 and 999,412

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Solution

The third proportional to 468,626 and 999,412 is: 2,131,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,626 : 999,412 = 999,412 : x
  2. Step 2: Convert to fraction form
    468,626/999,412 = 999,412/x
  3. Step 3: Cross multiply
    468,626x = 999,412 × 999,412
  4. Step 4: Simplify right side
    468,626x = 998,824,345,744
  5. Step 5: Solve for x
    x = 998,824,345,744/468,626
  6. Step 6: Final answer
    x = 2,131,389.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.