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Finding the Third Proportional to 386,193 and 841,040

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Solution

The third proportional to 386,193 and 841,040 is: 1,831,592.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,193 : 841,040 = 841,040 : x
  2. Step 2: Convert to fraction form
    386,193/841,040 = 841,040/x
  3. Step 3: Cross multiply
    386,193x = 841,040 × 841,040
  4. Step 4: Simplify right side
    386,193x = 707,348,281,600
  5. Step 5: Solve for x
    x = 707,348,281,600/386,193
  6. Step 6: Final answer
    x = 1,831,592.71

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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.