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Finding the Third Proportional to 1,769,086 and 2,650,842

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Solution

The third proportional to 1,769,086 and 2,650,842 is: 3,972,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769,086 : 2,650,842 = 2,650,842 : x
  2. Step 2: Convert to fraction form
    1,769,086/2,650,842 = 2,650,842/x
  3. Step 3: Cross multiply
    1,769,086x = 2,650,842 × 2,650,842
  4. Step 4: Simplify right side
    1,769,086x = 7,026,963,308,964
  5. Step 5: Solve for x
    x = 7,026,963,308,964/1,769,086
  6. Step 6: Final answer
    x = 3,972,086.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.