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Finding the Third Proportional to 862,444 and 1,814,256

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Solution

The third proportional to 862,444 and 1,814,256 is: 3,816,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,444 : 1,814,256 = 1,814,256 : x
  2. Step 2: Convert to fraction form
    862,444/1,814,256 = 1,814,256/x
  3. Step 3: Cross multiply
    862,444x = 1,814,256 × 1,814,256
  4. Step 4: Simplify right side
    862,444x = 3,291,524,833,536
  5. Step 5: Solve for x
    x = 3,291,524,833,536/862,444
  6. Step 6: Final answer
    x = 3,816,508.47

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