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Finding the Third Proportional to 1,015,600 and 2,171,168

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Solution

The third proportional to 1,015,600 and 2,171,168 is: 4,641,562.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,600 : 2,171,168 = 2,171,168 : x
  2. Step 2: Convert to fraction form
    1,015,600/2,171,168 = 2,171,168/x
  3. Step 3: Cross multiply
    1,015,600x = 2,171,168 × 2,171,168
  4. Step 4: Simplify right side
    1,015,600x = 4,713,970,484,224
  5. Step 5: Solve for x
    x = 4,713,970,484,224/1,015,600
  6. Step 6: Final answer
    x = 4,641,562.12

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Why These Related Problems?

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