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Finding the Third Proportional to 1,428,922 and 3,082,184

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Solution

The third proportional to 1,428,922 and 3,082,184 is: 6,648,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428,922 : 3,082,184 = 3,082,184 : x
  2. Step 2: Convert to fraction form
    1,428,922/3,082,184 = 3,082,184/x
  3. Step 3: Cross multiply
    1,428,922x = 3,082,184 × 3,082,184
  4. Step 4: Simplify right side
    1,428,922x = 9,499,858,209,856
  5. Step 5: Solve for x
    x = 9,499,858,209,856/1,428,922
  6. Step 6: Final answer
    x = 6,648,269.26

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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.