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Finding the Third Proportional to 714,214.97 and 1,558,556.44

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Solution

The third proportional to 714,214.97 and 1,558,556.44 is: 3,401,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,214.97 : 1,558,556.44 = 1,558,556.44 : x
  2. Step 2: Convert to fraction form
    714,214.97/1,558,556.44 = 1,558,556.44/x
  3. Step 3: Cross multiply
    714,214.97x = 1,558,556.44 × 1,558,556.44
  4. Step 4: Simplify right side
    714,214.97x = 2,429,098,168,872.69
  5. Step 5: Solve for x
    x = 2,429,098,168,872.69/714,214.97
  6. Step 6: Final answer
    x = 3,401,074.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.