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Finding the Third Proportional to 1,329,869 and 2,106,138

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Solution

The third proportional to 1,329,869 and 2,106,138 is: 3,335,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329,869 : 2,106,138 = 2,106,138 : x
  2. Step 2: Convert to fraction form
    1,329,869/2,106,138 = 2,106,138/x
  3. Step 3: Cross multiply
    1,329,869x = 2,106,138 × 2,106,138
  4. Step 4: Simplify right side
    1,329,869x = 4,435,817,275,044
  5. Step 5: Solve for x
    x = 4,435,817,275,044/1,329,869
  6. Step 6: Final answer
    x = 3,335,529.50

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.