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Finding the Third Proportional to 1,428,924 and 3,082,206

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Solution

The third proportional to 1,428,924 and 3,082,206 is: 6,648,354.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,924 : 3,082,206 = 3,082,206 : x
  2. Step 2: Convert to fraction form
    1,428,924/3,082,206 = 3,082,206/x
  3. Step 3: Cross multiply
    1,428,924x = 3,082,206 × 3,082,206
  4. Step 4: Simplify right side
    1,428,924x = 9,499,993,826,436
  5. Step 5: Solve for x
    x = 9,499,993,826,436/1,428,924
  6. Step 6: Final answer
    x = 6,648,354.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.