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Finding the Third Proportional to 565,260 and 1,212,420

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Solution

The third proportional to 565,260 and 1,212,420 is: 2,600,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,260 : 1,212,420 = 1,212,420 : x
  2. Step 2: Convert to fraction form
    565,260/1,212,420 = 1,212,420/x
  3. Step 3: Cross multiply
    565,260x = 1,212,420 × 1,212,420
  4. Step 4: Simplify right side
    565,260x = 1,469,962,256,400
  5. Step 5: Solve for x
    x = 1,469,962,256,400/565,260
  6. Step 6: Final answer
    x = 2,600,506.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.