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Finding the Third Proportional to 862,339.92 and 1,814,062.08

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Solution

The third proportional to 862,339.92 and 1,814,062.08 is: 3,816,153.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,339.92 : 1,814,062.08 = 1,814,062.08 : x
  2. Step 2: Convert to fraction form
    862,339.92/1,814,062.08 = 1,814,062.08/x
  3. Step 3: Cross multiply
    862,339.92x = 1,814,062.08 × 1,814,062.08
  4. Step 4: Simplify right side
    862,339.92x = 3,290,821,223,291.19
  5. Step 5: Solve for x
    x = 3,290,821,223,291.19/862,339.92
  6. Step 6: Final answer
    x = 3,816,153.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.