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Finding the Third Proportional to 404,768 and 870,766

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Solution

The third proportional to 404,768 and 870,766 is: 1,873,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,768 : 870,766 = 870,766 : x
  2. Step 2: Convert to fraction form
    404,768/870,766 = 870,766/x
  3. Step 3: Cross multiply
    404,768x = 870,766 × 870,766
  4. Step 4: Simplify right side
    404,768x = 758,233,426,756
  5. Step 5: Solve for x
    x = 758,233,426,756/404,768
  6. Step 6: Final answer
    x = 1,873,254.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.