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Finding the Third Proportional to 1,431,486 and 3,120,174

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Solution

The third proportional to 1,431,486 and 3,120,174 is: 6,800,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,486 : 3,120,174 = 3,120,174 : x
  2. Step 2: Convert to fraction form
    1,431,486/3,120,174 = 3,120,174/x
  3. Step 3: Cross multiply
    1,431,486x = 3,120,174 × 3,120,174
  4. Step 4: Simplify right side
    1,431,486x = 9,735,485,790,276
  5. Step 5: Solve for x
    x = 9,735,485,790,276/1,431,486
  6. Step 6: Final answer
    x = 6,800,964.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.