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Finding the Third Proportional to 404,766 and 870,762

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Solution

The third proportional to 404,766 and 870,762 is: 1,873,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,766 : 870,762 = 870,762 : x
  2. Step 2: Convert to fraction form
    404,766/870,762 = 870,762/x
  3. Step 3: Cross multiply
    404,766x = 870,762 × 870,762
  4. Step 4: Simplify right side
    404,766x = 758,226,460,644
  5. Step 5: Solve for x
    x = 758,226,460,644/404,766
  6. Step 6: Final answer
    x = 1,873,246.42

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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.