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Finding the Third Proportional to 465,680.25 and 1,018,536.75

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Solution

The third proportional to 465,680.25 and 1,018,536.75 is: 2,227,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,680.25 : 1,018,536.75 = 1,018,536.75 : x
  2. Step 2: Convert to fraction form
    465,680.25/1,018,536.75 = 1,018,536.75/x
  3. Step 3: Cross multiply
    465,680.25x = 1,018,536.75 × 1,018,536.75
  4. Step 4: Simplify right side
    465,680.25x = 1,037,417,111,100.56
  5. Step 5: Solve for x
    x = 1,037,417,111,100.56/465,680.25
  6. Step 6: Final answer
    x = 2,227,745.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.