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Finding the Third Proportional to 1,309,826 and 1,956,651

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Solution

The third proportional to 1,309,826 and 1,956,651 is: 2,922,894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,826 : 1,956,651 = 1,956,651 : x
  2. Step 2: Convert to fraction form
    1,309,826/1,956,651 = 1,956,651/x
  3. Step 3: Cross multiply
    1,309,826x = 1,956,651 × 1,956,651
  4. Step 4: Simplify right side
    1,309,826x = 3,828,483,135,801
  5. Step 5: Solve for x
    x = 3,828,483,135,801/1,309,826
  6. Step 6: Final answer
    x = 2,922,894.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.