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Finding the Third Proportional to 565,236 and 1,212,363

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Solution

The third proportional to 565,236 and 1,212,363 is: 2,600,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,236 : 1,212,363 = 1,212,363 : x
  2. Step 2: Convert to fraction form
    565,236/1,212,363 = 1,212,363/x
  3. Step 3: Cross multiply
    565,236x = 1,212,363 × 1,212,363
  4. Step 4: Simplify right side
    565,236x = 1,469,824,043,769
  5. Step 5: Solve for x
    x = 1,469,824,043,769/565,236
  6. Step 6: Final answer
    x = 2,600,372.31

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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.