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Finding the Third Proportional to 1,285,842 and 2,825,532

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Solution

The third proportional to 1,285,842 and 2,825,532 is: 6,208,874.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,842 : 2,825,532 = 2,825,532 : x
  2. Step 2: Convert to fraction form
    1,285,842/2,825,532 = 2,825,532/x
  3. Step 3: Cross multiply
    1,285,842x = 2,825,532 × 2,825,532
  4. Step 4: Simplify right side
    1,285,842x = 7,983,631,083,024
  5. Step 5: Solve for x
    x = 7,983,631,083,024/1,285,842
  6. Step 6: Final answer
    x = 6,208,874.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.