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Finding the Third Proportional to 561,783 and 1,213,349

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Solution

The third proportional to 561,783 and 1,213,349 is: 2,620,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,783 : 1,213,349 = 1,213,349 : x
  2. Step 2: Convert to fraction form
    561,783/1,213,349 = 1,213,349/x
  3. Step 3: Cross multiply
    561,783x = 1,213,349 × 1,213,349
  4. Step 4: Simplify right side
    561,783x = 1,472,215,795,801
  5. Step 5: Solve for x
    x = 1,472,215,795,801/561,783
  6. Step 6: Final answer
    x = 2,620,612.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.