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Finding the Third Proportional to 565,564 and 1,212,085

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Solution

The third proportional to 565,564 and 1,212,085 is: 2,597,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,564 : 1,212,085 = 1,212,085 : x
  2. Step 2: Convert to fraction form
    565,564/1,212,085 = 1,212,085/x
  3. Step 3: Cross multiply
    565,564x = 1,212,085 × 1,212,085
  4. Step 4: Simplify right side
    565,564x = 1,469,150,047,225
  5. Step 5: Solve for x
    x = 1,469,150,047,225/565,564
  6. Step 6: Final answer
    x = 2,597,672.50

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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.