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Finding the Third Proportional to 893,448 and 1,944,324

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Solution

The third proportional to 893,448 and 1,944,324 is: 4,231,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,448 : 1,944,324 = 1,944,324 : x
  2. Step 2: Convert to fraction form
    893,448/1,944,324 = 1,944,324/x
  3. Step 3: Cross multiply
    893,448x = 1,944,324 × 1,944,324
  4. Step 4: Simplify right side
    893,448x = 3,780,395,816,976
  5. Step 5: Solve for x
    x = 3,780,395,816,976/893,448
  6. Step 6: Final answer
    x = 4,231,243.25

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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.