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Finding the Third Proportional to 835,062.33 and 1,829,724.47

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Solution

The third proportional to 835,062.33 and 1,829,724.47 is: 4,009,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,062.33 : 1,829,724.47 = 1,829,724.47 : x
  2. Step 2: Convert to fraction form
    835,062.33/1,829,724.47 = 1,829,724.47/x
  3. Step 3: Cross multiply
    835,062.33x = 1,829,724.47 × 1,829,724.47
  4. Step 4: Simplify right side
    835,062.33x = 3,347,891,631,542.47
  5. Step 5: Solve for x
    x = 3,347,891,631,542.47/835,062.33
  6. Step 6: Final answer
    x = 4,009,151.79

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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.