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Finding the Third Proportional to 1,648,884.50 and 3,633,200

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Solution

The third proportional to 1,648,884.50 and 3,633,200 is: 8,005,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,884.50 : 3,633,200 = 3,633,200 : x
  2. Step 2: Convert to fraction form
    1,648,884.50/3,633,200 = 3,633,200/x
  3. Step 3: Cross multiply
    1,648,884.50x = 3,633,200 × 3,633,200
  4. Step 4: Simplify right side
    1,648,884.50x = 13,200,142,240,000
  5. Step 5: Solve for x
    x = 13,200,142,240,000/1,648,884.50
  6. Step 6: Final answer
    x = 8,005,498.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.