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Finding the Third Proportional to 3,026,403 and 4,496,729.25

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Solution

The third proportional to 3,026,403 and 4,496,729.25 is: 6,681,388.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026,403 : 4,496,729.25 = 4,496,729.25 : x
  2. Step 2: Convert to fraction form
    3,026,403/4,496,729.25 = 4,496,729.25/x
  3. Step 3: Cross multiply
    3,026,403x = 4,496,729.25 × 4,496,729.25
  4. Step 4: Simplify right side
    3,026,403x = 20,220,573,947,805.56
  5. Step 5: Solve for x
    x = 20,220,573,947,805.56/3,026,403
  6. Step 6: Final answer
    x = 6,681,388.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.