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Finding the Third Proportional to 906,386 and 1,906,084

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Solution

The third proportional to 906,386 and 1,906,084 is: 4,008,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,386 : 1,906,084 = 1,906,084 : x
  2. Step 2: Convert to fraction form
    906,386/1,906,084 = 1,906,084/x
  3. Step 3: Cross multiply
    906,386x = 1,906,084 × 1,906,084
  4. Step 4: Simplify right side
    906,386x = 3,633,156,215,056
  5. Step 5: Solve for x
    x = 3,633,156,215,056/906,386
  6. Step 6: Final answer
    x = 4,008,398.43

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.