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Finding the Third Proportional to 565,241 and 1,212,373

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Solution

The third proportional to 565,241 and 1,212,373 is: 2,600,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,241 : 1,212,373 = 1,212,373 : x
  2. Step 2: Convert to fraction form
    565,241/1,212,373 = 1,212,373/x
  3. Step 3: Cross multiply
    565,241x = 1,212,373 × 1,212,373
  4. Step 4: Simplify right side
    565,241x = 1,469,848,291,129
  5. Step 5: Solve for x
    x = 1,469,848,291,129/565,241
  6. Step 6: Final answer
    x = 2,600,392.21

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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.