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Finding the Third Proportional to 724,808.25 and 1,569,081.38

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Solution

The third proportional to 724,808.25 and 1,569,081.38 is: 3,396,783.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,808.25 : 1,569,081.38 = 1,569,081.38 : x
  2. Step 2: Convert to fraction form
    724,808.25/1,569,081.38 = 1,569,081.38/x
  3. Step 3: Cross multiply
    724,808.25x = 1,569,081.38 × 1,569,081.38
  4. Step 4: Simplify right side
    724,808.25x = 2,462,016,361,371.89
  5. Step 5: Solve for x
    x = 2,462,016,361,371.89/724,808.25
  6. Step 6: Final answer
    x = 3,396,783.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.