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Finding the Third Proportional to 1,295,649 and 2,674,296

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Solution

The third proportional to 1,295,649 and 2,674,296 is: 5,519,904.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,649 : 2,674,296 = 2,674,296 : x
  2. Step 2: Convert to fraction form
    1,295,649/2,674,296 = 2,674,296/x
  3. Step 3: Cross multiply
    1,295,649x = 2,674,296 × 2,674,296
  4. Step 4: Simplify right side
    1,295,649x = 7,151,859,095,616
  5. Step 5: Solve for x
    x = 7,151,859,095,616/1,295,649
  6. Step 6: Final answer
    x = 5,519,904.77

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.