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Finding the Third Proportional to 826,444 and 1,811,324

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Solution

The third proportional to 826,444 and 1,811,324 is: 3,969,893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,444 : 1,811,324 = 1,811,324 : x
  2. Step 2: Convert to fraction form
    826,444/1,811,324 = 1,811,324/x
  3. Step 3: Cross multiply
    826,444x = 1,811,324 × 1,811,324
  4. Step 4: Simplify right side
    826,444x = 3,280,894,632,976
  5. Step 5: Solve for x
    x = 3,280,894,632,976/826,444
  6. Step 6: Final answer
    x = 3,969,893.46

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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.