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Finding the Third Proportional to 763,047 and 1,644,192

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Solution

The third proportional to 763,047 and 1,644,192 is: 3,542,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,047 : 1,644,192 = 1,644,192 : x
  2. Step 2: Convert to fraction form
    763,047/1,644,192 = 1,644,192/x
  3. Step 3: Cross multiply
    763,047x = 1,644,192 × 1,644,192
  4. Step 4: Simplify right side
    763,047x = 2,703,367,332,864
  5. Step 5: Solve for x
    x = 2,703,367,332,864/763,047
  6. Step 6: Final answer
    x = 3,542,858.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.