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Finding the Third Proportional to 2,046,260.75 and 3,209,975

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Solution

The third proportional to 2,046,260.75 and 3,209,975 is: 5,035,496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,260.75 : 3,209,975 = 3,209,975 : x
  2. Step 2: Convert to fraction form
    2,046,260.75/3,209,975 = 3,209,975/x
  3. Step 3: Cross multiply
    2,046,260.75x = 3,209,975 × 3,209,975
  4. Step 4: Simplify right side
    2,046,260.75x = 10,303,939,500,625
  5. Step 5: Solve for x
    x = 10,303,939,500,625/2,046,260.75
  6. Step 6: Final answer
    x = 5,035,496.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.