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Finding the Third Proportional to 1,199,478 and 2,533,632

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Solution

The third proportional to 1,199,478 and 2,533,632 is: 5,351,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,478 : 2,533,632 = 2,533,632 : x
  2. Step 2: Convert to fraction form
    1,199,478/2,533,632 = 2,533,632/x
  3. Step 3: Cross multiply
    1,199,478x = 2,533,632 × 2,533,632
  4. Step 4: Simplify right side
    1,199,478x = 6,419,291,111,424
  5. Step 5: Solve for x
    x = 6,419,291,111,424/1,199,478
  6. Step 6: Final answer
    x = 5,351,737.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.