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Finding the Third Proportional to 1,015,584 and 2,171,136

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Solution

The third proportional to 1,015,584 and 2,171,136 is: 4,641,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,584 : 2,171,136 = 2,171,136 : x
  2. Step 2: Convert to fraction form
    1,015,584/2,171,136 = 2,171,136/x
  3. Step 3: Cross multiply
    1,015,584x = 2,171,136 × 2,171,136
  4. Step 4: Simplify right side
    1,015,584x = 4,713,831,530,496
  5. Step 5: Solve for x
    x = 4,713,831,530,496/1,015,584
  6. Step 6: Final answer
    x = 4,641,498.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.