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Finding the Third Proportional to 719,739 and 1,081,431

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Solution

The third proportional to 719,739 and 1,081,431 is: 1,624,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,739 : 1,081,431 = 1,081,431 : x
  2. Step 2: Convert to fraction form
    719,739/1,081,431 = 1,081,431/x
  3. Step 3: Cross multiply
    719,739x = 1,081,431 × 1,081,431
  4. Step 4: Simplify right side
    719,739x = 1,169,493,007,761
  5. Step 5: Solve for x
    x = 1,169,493,007,761/719,739
  6. Step 6: Final answer
    x = 1,624,884.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.