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Finding the Third Proportional to 565,218 and 1,228,608

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Solution

The third proportional to 565,218 and 1,228,608 is: 2,670,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,218 : 1,228,608 = 1,228,608 : x
  2. Step 2: Convert to fraction form
    565,218/1,228,608 = 1,228,608/x
  3. Step 3: Cross multiply
    565,218x = 1,228,608 × 1,228,608
  4. Step 4: Simplify right side
    565,218x = 1,509,477,617,664
  5. Step 5: Solve for x
    x = 1,509,477,617,664/565,218
  6. Step 6: Final answer
    x = 2,670,611.37

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Why These Related Problems?

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