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Finding the Third Proportional to 1,825,902 and 2,794,257

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Solution

The third proportional to 1,825,902 and 2,794,257 is: 4,276,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825,902 : 2,794,257 = 2,794,257 : x
  2. Step 2: Convert to fraction form
    1,825,902/2,794,257 = 2,794,257/x
  3. Step 3: Cross multiply
    1,825,902x = 2,794,257 × 2,794,257
  4. Step 4: Simplify right side
    1,825,902x = 7,807,872,182,049
  5. Step 5: Solve for x
    x = 7,807,872,182,049/1,825,902
  6. Step 6: Final answer
    x = 4,276,172.64

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.