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Finding the Third Proportional to 491,666 and 1,072,324

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Solution

The third proportional to 491,666 and 1,072,324 is: 2,338,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,666 : 1,072,324 = 1,072,324 : x
  2. Step 2: Convert to fraction form
    491,666/1,072,324 = 1,072,324/x
  3. Step 3: Cross multiply
    491,666x = 1,072,324 × 1,072,324
  4. Step 4: Simplify right side
    491,666x = 1,149,878,760,976
  5. Step 5: Solve for x
    x = 1,149,878,760,976/491,666
  6. Step 6: Final answer
    x = 2,338,739.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.