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Finding the Third Proportional to 654,120 and 1,387,404

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Solution

The third proportional to 654,120 and 1,387,404 is: 2,942,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,120 : 1,387,404 = 1,387,404 : x
  2. Step 2: Convert to fraction form
    654,120/1,387,404 = 1,387,404/x
  3. Step 3: Cross multiply
    654,120x = 1,387,404 × 1,387,404
  4. Step 4: Simplify right side
    654,120x = 1,924,889,859,216
  5. Step 5: Solve for x
    x = 1,924,889,859,216/654,120
  6. Step 6: Final answer
    x = 2,942,716.72

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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.