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Finding the Third Proportional to 1,305,843.19 and 1,997,401.78

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Solution

The third proportional to 1,305,843.19 and 1,997,401.78 is: 3,055,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,843.19 : 1,997,401.78 = 1,997,401.78 : x
  2. Step 2: Convert to fraction form
    1,305,843.19/1,997,401.78 = 1,997,401.78/x
  3. Step 3: Cross multiply
    1,305,843.19x = 1,997,401.78 × 1,997,401.78
  4. Step 4: Simplify right side
    1,305,843.19x = 3,989,613,875,740.67
  5. Step 5: Solve for x
    x = 3,989,613,875,740.67/1,305,843.19
  6. Step 6: Final answer
    x = 3,055,201.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.