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Finding the Third Proportional to 561,781 and 1,213,344

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Solution

The third proportional to 561,781 and 1,213,344 is: 2,620,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,781 : 1,213,344 = 1,213,344 : x
  2. Step 2: Convert to fraction form
    561,781/1,213,344 = 1,213,344/x
  3. Step 3: Cross multiply
    561,781x = 1,213,344 × 1,213,344
  4. Step 4: Simplify right side
    561,781x = 1,472,203,662,336
  5. Step 5: Solve for x
    x = 1,472,203,662,336/561,781
  6. Step 6: Final answer
    x = 2,620,600.67

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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.