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Finding the Third Proportional to 763,962.75 and 1,618,993.13

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Solution

The third proportional to 763,962.75 and 1,618,993.13 is: 3,430,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,962.75 : 1,618,993.13 = 1,618,993.13 : x
  2. Step 2: Convert to fraction form
    763,962.75/1,618,993.13 = 1,618,993.13/x
  3. Step 3: Cross multiply
    763,962.75x = 1,618,993.13 × 1,618,993.13
  4. Step 4: Simplify right side
    763,962.75x = 2,621,138,738,797.27
  5. Step 5: Solve for x
    x = 2,621,138,738,797.27/763,962.75
  6. Step 6: Final answer
    x = 3,430,977.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.