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Finding the Third Proportional to 750,735.50 and 1,619,569

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Solution

The third proportional to 750,735.50 and 1,619,569 is: 3,493,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,735.50 : 1,619,569 = 1,619,569 : x
  2. Step 2: Convert to fraction form
    750,735.50/1,619,569 = 1,619,569/x
  3. Step 3: Cross multiply
    750,735.50x = 1,619,569 × 1,619,569
  4. Step 4: Simplify right side
    750,735.50x = 2,623,003,745,761
  5. Step 5: Solve for x
    x = 2,623,003,745,761/750,735.50
  6. Step 6: Final answer
    x = 3,493,911.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.