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Finding the Third Proportional to 1,028,015.72 and 2,227,642.59

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Solution

The third proportional to 1,028,015.72 and 2,227,642.59 is: 4,827,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,015.72 : 2,227,642.59 = 2,227,642.59 : x
  2. Step 2: Convert to fraction form
    1,028,015.72/2,227,642.59 = 2,227,642.59/x
  3. Step 3: Cross multiply
    1,028,015.72x = 2,227,642.59 × 2,227,642.59
  4. Step 4: Simplify right side
    1,028,015.72x = 4,962,391,525,489.23
  5. Step 5: Solve for x
    x = 4,962,391,525,489.23/1,028,015.72
  6. Step 6: Final answer
    x = 4,827,155.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.