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Finding the Third Proportional to 906,385 and 1,906,082

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Solution

The third proportional to 906,385 and 1,906,082 is: 4,008,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,385 : 1,906,082 = 1,906,082 : x
  2. Step 2: Convert to fraction form
    906,385/1,906,082 = 1,906,082/x
  3. Step 3: Cross multiply
    906,385x = 1,906,082 × 1,906,082
  4. Step 4: Simplify right side
    906,385x = 3,633,148,590,724
  5. Step 5: Solve for x
    x = 3,633,148,590,724/906,385
  6. Step 6: Final answer
    x = 4,008,394.44

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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.