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Finding the Third Proportional to 442,699.91 and 938,601.23

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Solution

The third proportional to 442,699.91 and 938,601.23 is: 1,989,998.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,699.91 : 938,601.23 = 938,601.23 : x
  2. Step 2: Convert to fraction form
    442,699.91/938,601.23 = 938,601.23/x
  3. Step 3: Cross multiply
    442,699.91x = 938,601.23 × 938,601.23
  4. Step 4: Simplify right side
    442,699.91x = 880,972,262,561.88
  5. Step 5: Solve for x
    x = 880,972,262,561.88/442,699.91
  6. Step 6: Final answer
    x = 1,989,998.73

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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.