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Finding the Third Proportional to 561,339 and 1,224,252

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Solution

The third proportional to 561,339 and 1,224,252 is: 2,670,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,339 : 1,224,252 = 1,224,252 : x
  2. Step 2: Convert to fraction form
    561,339/1,224,252 = 1,224,252/x
  3. Step 3: Cross multiply
    561,339x = 1,224,252 × 1,224,252
  4. Step 4: Simplify right side
    561,339x = 1,498,792,959,504
  5. Step 5: Solve for x
    x = 1,498,792,959,504/561,339
  6. Step 6: Final answer
    x = 2,670,031.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.