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Finding the Third Proportional to 386,938 and 842,952

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Solution

The third proportional to 386,938 and 842,952 is: 1,836,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,938 : 842,952 = 842,952 : x
  2. Step 2: Convert to fraction form
    386,938/842,952 = 842,952/x
  3. Step 3: Cross multiply
    386,938x = 842,952 × 842,952
  4. Step 4: Simplify right side
    386,938x = 710,568,074,304
  5. Step 5: Solve for x
    x = 710,568,074,304/386,938
  6. Step 6: Final answer
    x = 1,836,387.42

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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.