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Finding the Third Proportional to 871,997.91 and 1,849,535.65

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Solution

The third proportional to 871,997.91 and 1,849,535.65 is: 3,922,924.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,997.91 : 1,849,535.65 = 1,849,535.65 : x
  2. Step 2: Convert to fraction form
    871,997.91/1,849,535.65 = 1,849,535.65/x
  3. Step 3: Cross multiply
    871,997.91x = 1,849,535.65 × 1,849,535.65
  4. Step 4: Simplify right side
    871,997.91x = 3,420,782,114,841.12
  5. Step 5: Solve for x
    x = 3,420,782,114,841.12/871,997.91
  6. Step 6: Final answer
    x = 3,922,924.69

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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.