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Finding the Third Proportional to 2,981,731.50 and 4,728,840.75

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Solution

The third proportional to 2,981,731.50 and 4,728,840.75 is: 7,499,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981,731.50 : 4,728,840.75 = 4,728,840.75 : x
  2. Step 2: Convert to fraction form
    2,981,731.50/4,728,840.75 = 4,728,840.75/x
  3. Step 3: Cross multiply
    2,981,731.50x = 4,728,840.75 × 4,728,840.75
  4. Step 4: Simplify right side
    2,981,731.50x = 22,361,934,838,860.56
  5. Step 5: Solve for x
    x = 22,361,934,838,860.56/2,981,731.50
  6. Step 6: Final answer
    x = 7,499,647.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.