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Finding the Third Proportional to 1,619,680.50 and 3,544,416

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Solution

The third proportional to 1,619,680.50 and 3,544,416 is: 7,756,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,680.50 : 3,544,416 = 3,544,416 : x
  2. Step 2: Convert to fraction form
    1,619,680.50/3,544,416 = 3,544,416/x
  3. Step 3: Cross multiply
    1,619,680.50x = 3,544,416 × 3,544,416
  4. Step 4: Simplify right side
    1,619,680.50x = 12,562,884,781,056
  5. Step 5: Solve for x
    x = 12,562,884,781,056/1,619,680.50
  6. Step 6: Final answer
    x = 7,756,396.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.