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Finding the Third Proportional to 791,406 and 1,866,324

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Solution

The third proportional to 791,406 and 1,866,324 is: 4,401,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,406 : 1,866,324 = 1,866,324 : x
  2. Step 2: Convert to fraction form
    791,406/1,866,324 = 1,866,324/x
  3. Step 3: Cross multiply
    791,406x = 1,866,324 × 1,866,324
  4. Step 4: Simplify right side
    791,406x = 3,483,165,272,976
  5. Step 5: Solve for x
    x = 3,483,165,272,976/791,406
  6. Step 6: Final answer
    x = 4,401,236.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.