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Finding the Third Proportional to 1,805,840 and 3,761,147

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Solution

The third proportional to 1,805,840 and 3,761,147 is: 7,833,599.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805,840 : 3,761,147 = 3,761,147 : x
  2. Step 2: Convert to fraction form
    1,805,840/3,761,147 = 3,761,147/x
  3. Step 3: Cross multiply
    1,805,840x = 3,761,147 × 3,761,147
  4. Step 4: Simplify right side
    1,805,840x = 14,146,226,755,609
  5. Step 5: Solve for x
    x = 14,146,226,755,609/1,805,840
  6. Step 6: Final answer
    x = 7,833,599.19

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.