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Finding the Third Proportional to 1,616,199 and 3,535,296

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Solution

The third proportional to 1,616,199 and 3,535,296 is: 7,733,155.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,199 : 3,535,296 = 3,535,296 : x
  2. Step 2: Convert to fraction form
    1,616,199/3,535,296 = 3,535,296/x
  3. Step 3: Cross multiply
    1,616,199x = 3,535,296 × 3,535,296
  4. Step 4: Simplify right side
    1,616,199x = 12,498,317,807,616
  5. Step 5: Solve for x
    x = 12,498,317,807,616/1,616,199
  6. Step 6: Final answer
    x = 7,733,155.27

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