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Finding the Third Proportional to 791,646.75 and 1,725,380.16

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Solution

The third proportional to 791,646.75 and 1,725,380.16 is: 3,760,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,646.75 : 1,725,380.16 = 1,725,380.16 : x
  2. Step 2: Convert to fraction form
    791,646.75/1,725,380.16 = 1,725,380.16/x
  3. Step 3: Cross multiply
    791,646.75x = 1,725,380.16 × 1,725,380.16
  4. Step 4: Simplify right side
    791,646.75x = 2,976,936,683,581.27
  5. Step 5: Solve for x
    x = 2,976,936,683,581.27/791,646.75
  6. Step 6: Final answer
    x = 3,760,435.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.