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Finding the Third Proportional to 2,689,444 and 5,826,896

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Solution

The third proportional to 2,689,444 and 5,826,896 is: 12,624,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689,444 : 5,826,896 = 5,826,896 : x
  2. Step 2: Convert to fraction form
    2,689,444/5,826,896 = 5,826,896/x
  3. Step 3: Cross multiply
    2,689,444x = 5,826,896 × 5,826,896
  4. Step 4: Simplify right side
    2,689,444x = 33,952,716,994,816
  5. Step 5: Solve for x
    x = 33,952,716,994,816/2,689,444
  6. Step 6: Final answer
    x = 12,624,437.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.