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Finding the Third Proportional to 554,941.13 and 1,198,405.13

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Solution

The third proportional to 554,941.13 and 1,198,405.13 is: 2,587,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,941.13 : 1,198,405.13 = 1,198,405.13 : x
  2. Step 2: Convert to fraction form
    554,941.13/1,198,405.13 = 1,198,405.13/x
  3. Step 3: Cross multiply
    554,941.13x = 1,198,405.13 × 1,198,405.13
  4. Step 4: Simplify right side
    554,941.13x = 1,436,174,843,626.27
  5. Step 5: Solve for x
    x = 1,436,174,843,626.27/554,941.13
  6. Step 6: Final answer
    x = 2,587,976.96

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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.