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Finding the Third Proportional to 994,578.75 and 1,520,410.50

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Solution

The third proportional to 994,578.75 and 1,520,410.50 is: 2,324,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,578.75 : 1,520,410.50 = 1,520,410.50 : x
  2. Step 2: Convert to fraction form
    994,578.75/1,520,410.50 = 1,520,410.50/x
  3. Step 3: Cross multiply
    994,578.75x = 1,520,410.50 × 1,520,410.50
  4. Step 4: Simplify right side
    994,578.75x = 2,311,648,088,510.25
  5. Step 5: Solve for x
    x = 2,311,648,088,510.25/994,578.75
  6. Step 6: Final answer
    x = 2,324,248.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.