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Finding the Third Proportional to 493,219.13 and 1,025,193.38

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Solution

The third proportional to 493,219.13 and 1,025,193.38 is: 2,130,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,219.13 : 1,025,193.38 = 1,025,193.38 : x
  2. Step 2: Convert to fraction form
    493,219.13/1,025,193.38 = 1,025,193.38/x
  3. Step 3: Cross multiply
    493,219.13x = 1,025,193.38 × 1,025,193.38
  4. Step 4: Simplify right side
    493,219.13x = 1,051,021,456,143.89
  5. Step 5: Solve for x
    x = 1,051,021,456,143.89/493,219.13
  6. Step 6: Final answer
    x = 2,130,942.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.