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Finding the Third Proportional to 2,005,082 and 4,312,438

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Solution

The third proportional to 2,005,082 and 4,312,438 is: 9,274,992.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,082 : 4,312,438 = 4,312,438 : x
  2. Step 2: Convert to fraction form
    2,005,082/4,312,438 = 4,312,438/x
  3. Step 3: Cross multiply
    2,005,082x = 4,312,438 × 4,312,438
  4. Step 4: Simplify right side
    2,005,082x = 18,597,121,503,844
  5. Step 5: Solve for x
    x = 18,597,121,503,844/2,005,082
  6. Step 6: Final answer
    x = 9,274,992.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.