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Finding the Third Proportional to 722,100 and 1,564,728

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Solution

The third proportional to 722,100 and 1,564,728 is: 3,390,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,100 : 1,564,728 = 1,564,728 : x
  2. Step 2: Convert to fraction form
    722,100/1,564,728 = 1,564,728/x
  3. Step 3: Cross multiply
    722,100x = 1,564,728 × 1,564,728
  4. Step 4: Simplify right side
    722,100x = 2,448,373,713,984
  5. Step 5: Solve for x
    x = 2,448,373,713,984/722,100
  6. Step 6: Final answer
    x = 3,390,629.71

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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.