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Finding the Third Proportional to 1,204,840 and 2,596,296

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Solution

The third proportional to 1,204,840 and 2,596,296 is: 5,594,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,840 : 2,596,296 = 2,596,296 : x
  2. Step 2: Convert to fraction form
    1,204,840/2,596,296 = 2,596,296/x
  3. Step 3: Cross multiply
    1,204,840x = 2,596,296 × 2,596,296
  4. Step 4: Simplify right side
    1,204,840x = 6,740,752,919,616
  5. Step 5: Solve for x
    x = 6,740,752,919,616/1,204,840
  6. Step 6: Final answer
    x = 5,594,728.69

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.