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Finding the Third Proportional to 1,616,185.50 and 3,516,123

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Solution

The third proportional to 1,616,185.50 and 3,516,123 is: 7,649,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,185.50 : 3,516,123 = 3,516,123 : x
  2. Step 2: Convert to fraction form
    1,616,185.50/3,516,123 = 3,516,123/x
  3. Step 3: Cross multiply
    1,616,185.50x = 3,516,123 × 3,516,123
  4. Step 4: Simplify right side
    1,616,185.50x = 12,363,120,951,129
  5. Step 5: Solve for x
    x = 12,363,120,951,129/1,616,185.50
  6. Step 6: Final answer
    x = 7,649,568.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.