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Finding the Third Proportional to 632,912.06 and 1,384,605.56

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Solution

The third proportional to 632,912.06 and 1,384,605.56 is: 3,029,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,912.06 : 1,384,605.56 = 1,384,605.56 : x
  2. Step 2: Convert to fraction form
    632,912.06/1,384,605.56 = 1,384,605.56/x
  3. Step 3: Cross multiply
    632,912.06x = 1,384,605.56 × 1,384,605.56
  4. Step 4: Simplify right side
    632,912.06x = 1,917,132,563,705.94
  5. Step 5: Solve for x
    x = 1,917,132,563,705.94/632,912.06
  6. Step 6: Final answer
    x = 3,029,066.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.