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Finding the Third Proportional to 1,069,057.69 and 2,305,215.56

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Solution

The third proportional to 1,069,057.69 and 2,305,215.56 is: 4,970,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,057.69 : 2,305,215.56 = 2,305,215.56 : x
  2. Step 2: Convert to fraction form
    1,069,057.69/2,305,215.56 = 2,305,215.56/x
  3. Step 3: Cross multiply
    1,069,057.69x = 2,305,215.56 × 2,305,215.56
  4. Step 4: Simplify right side
    1,069,057.69x = 5,314,018,789,592.19
  5. Step 5: Solve for x
    x = 5,314,018,789,592.19/1,069,057.69
  6. Step 6: Final answer
    x = 4,970,750.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.