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Finding the Third Proportional to 2,479,027.50 and 3,830,643

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Solution

The third proportional to 2,479,027.50 and 3,830,643 is: 5,919,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479,027.50 : 3,830,643 = 3,830,643 : x
  2. Step 2: Convert to fraction form
    2,479,027.50/3,830,643 = 3,830,643/x
  3. Step 3: Cross multiply
    2,479,027.50x = 3,830,643 × 3,830,643
  4. Step 4: Simplify right side
    2,479,027.50x = 14,673,825,793,449
  5. Step 5: Solve for x
    x = 14,673,825,793,449/2,479,027.50
  6. Step 6: Final answer
    x = 5,919,186.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.