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Finding the Third Proportional to 1,166,651 and 1,569,183

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Solution

The third proportional to 1,166,651 and 1,569,183 is: 2,110,601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,651 : 1,569,183 = 1,569,183 : x
  2. Step 2: Convert to fraction form
    1,166,651/1,569,183 = 1,569,183/x
  3. Step 3: Cross multiply
    1,166,651x = 1,569,183 × 1,569,183
  4. Step 4: Simplify right side
    1,166,651x = 2,462,335,287,489
  5. Step 5: Solve for x
    x = 2,462,335,287,489/1,166,651
  6. Step 6: Final answer
    x = 2,110,601.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.