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Finding the Third Proportional to 823,940 and 1,275,114

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Solution

The third proportional to 823,940 and 1,275,114 is: 1,973,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,940 : 1,275,114 = 1,275,114 : x
  2. Step 2: Convert to fraction form
    823,940/1,275,114 = 1,275,114/x
  3. Step 3: Cross multiply
    823,940x = 1,275,114 × 1,275,114
  4. Step 4: Simplify right side
    823,940x = 1,625,915,712,996
  5. Step 5: Solve for x
    x = 1,625,915,712,996/823,940
  6. Step 6: Final answer
    x = 1,973,342.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.