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Finding the Third Proportional to 2,140,964 and 3,131,073

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Solution

The third proportional to 2,140,964 and 3,131,073 is: 4,579,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,964 : 3,131,073 = 3,131,073 : x
  2. Step 2: Convert to fraction form
    2,140,964/3,131,073 = 3,131,073/x
  3. Step 3: Cross multiply
    2,140,964x = 3,131,073 × 3,131,073
  4. Step 4: Simplify right side
    2,140,964x = 9,803,618,131,329
  5. Step 5: Solve for x
    x = 9,803,618,131,329/2,140,964
  6. Step 6: Final answer
    x = 4,579,067.25

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.