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Finding the Third Proportional to 1,285,842 and 1,763,241

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Solution

The third proportional to 1,285,842 and 1,763,241 is: 2,417,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,842 : 1,763,241 = 1,763,241 : x
  2. Step 2: Convert to fraction form
    1,285,842/1,763,241 = 1,763,241/x
  3. Step 3: Cross multiply
    1,285,842x = 1,763,241 × 1,763,241
  4. Step 4: Simplify right side
    1,285,842x = 3,109,018,824,081
  5. Step 5: Solve for x
    x = 3,109,018,824,081/1,285,842
  6. Step 6: Final answer
    x = 2,417,885.58

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.