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Finding the Third Proportional to 654,505.31 and 1,388,243.81

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Solution

The third proportional to 654,505.31 and 1,388,243.81 is: 2,944,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,505.31 : 1,388,243.81 = 1,388,243.81 : x
  2. Step 2: Convert to fraction form
    654,505.31/1,388,243.81 = 1,388,243.81/x
  3. Step 3: Cross multiply
    654,505.31x = 1,388,243.81 × 1,388,243.81
  4. Step 4: Simplify right side
    654,505.31x = 1,927,220,882,944.54
  5. Step 5: Solve for x
    x = 1,927,220,882,944.54/654,505.31
  6. Step 6: Final answer
    x = 2,944,545.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.