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Finding the Third Proportional to 1,214,964 and 2,812,662

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Solution

The third proportional to 1,214,964 and 2,812,662 is: 6,511,359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,964 : 2,812,662 = 2,812,662 : x
  2. Step 2: Convert to fraction form
    1,214,964/2,812,662 = 2,812,662/x
  3. Step 3: Cross multiply
    1,214,964x = 2,812,662 × 2,812,662
  4. Step 4: Simplify right side
    1,214,964x = 7,911,067,526,244
  5. Step 5: Solve for x
    x = 7,911,067,526,244/1,214,964
  6. Step 6: Final answer
    x = 6,511,359.62

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.