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Finding the Third Proportional to 2,520,684 and 3,782,868.75

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Solution

The third proportional to 2,520,684 and 3,782,868.75 is: 5,677,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520,684 : 3,782,868.75 = 3,782,868.75 : x
  2. Step 2: Convert to fraction form
    2,520,684/3,782,868.75 = 3,782,868.75/x
  3. Step 3: Cross multiply
    2,520,684x = 3,782,868.75 × 3,782,868.75
  4. Step 4: Simplify right side
    2,520,684x = 14,310,095,979,726.56
  5. Step 5: Solve for x
    x = 14,310,095,979,726.56/2,520,684
  6. Step 6: Final answer
    x = 5,677,068.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.