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Finding the Third Proportional to 1,282,006 and 1,856,865

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Solution

The third proportional to 1,282,006 and 1,856,865 is: 2,689,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282,006 : 1,856,865 = 1,856,865 : x
  2. Step 2: Convert to fraction form
    1,282,006/1,856,865 = 1,856,865/x
  3. Step 3: Cross multiply
    1,282,006x = 1,856,865 × 1,856,865
  4. Step 4: Simplify right side
    1,282,006x = 3,447,947,628,225
  5. Step 5: Solve for x
    x = 3,447,947,628,225/1,282,006
  6. Step 6: Final answer
    x = 2,689,494.14

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.