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Finding the Third Proportional to 724,544 and 1,589,056

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Solution

The third proportional to 724,544 and 1,589,056 is: 3,485,087.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,544 : 1,589,056 = 1,589,056 : x
  2. Step 2: Convert to fraction form
    724,544/1,589,056 = 1,589,056/x
  3. Step 3: Cross multiply
    724,544x = 1,589,056 × 1,589,056
  4. Step 4: Simplify right side
    724,544x = 2,525,098,971,136
  5. Step 5: Solve for x
    x = 2,525,098,971,136/724,544
  6. Step 6: Final answer
    x = 3,485,087.13

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.