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Finding the Third Proportional to 725,899.22 and 1,123,447.22

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Solution

The third proportional to 725,899.22 and 1,123,447.22 is: 1,738,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,899.22 : 1,123,447.22 = 1,123,447.22 : x
  2. Step 2: Convert to fraction form
    725,899.22/1,123,447.22 = 1,123,447.22/x
  3. Step 3: Cross multiply
    725,899.22x = 1,123,447.22 × 1,123,447.22
  4. Step 4: Simplify right side
    725,899.22x = 1,262,133,653,317.11
  5. Step 5: Solve for x
    x = 1,262,133,653,317.11/725,899.22
  6. Step 6: Final answer
    x = 1,738,717.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.