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Finding the Third Proportional to 386,413 and 837,176

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Solution

The third proportional to 386,413 and 837,176 is: 1,813,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,413 : 837,176 = 837,176 : x
  2. Step 2: Convert to fraction form
    386,413/837,176 = 837,176/x
  3. Step 3: Cross multiply
    386,413x = 837,176 × 837,176
  4. Step 4: Simplify right side
    386,413x = 700,863,654,976
  5. Step 5: Solve for x
    x = 700,863,654,976/386,413
  6. Step 6: Final answer
    x = 1,813,768.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.