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Finding the Third Proportional to 724,546 and 1,589,060

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Solution

The third proportional to 724,546 and 1,589,060 is: 3,485,095.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,546 : 1,589,060 = 1,589,060 : x
  2. Step 2: Convert to fraction form
    724,546/1,589,060 = 1,589,060/x
  3. Step 3: Cross multiply
    724,546x = 1,589,060 × 1,589,060
  4. Step 4: Simplify right side
    724,546x = 2,525,111,683,600
  5. Step 5: Solve for x
    x = 2,525,111,683,600/724,546
  6. Step 6: Final answer
    x = 3,485,095.06

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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.