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Finding the Third Proportional to 561,348 and 1,224,270

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Solution

The third proportional to 561,348 and 1,224,270 is: 2,670,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,348 : 1,224,270 = 1,224,270 : x
  2. Step 2: Convert to fraction form
    561,348/1,224,270 = 1,224,270/x
  3. Step 3: Cross multiply
    561,348x = 1,224,270 × 1,224,270
  4. Step 4: Simplify right side
    561,348x = 1,498,837,032,900
  5. Step 5: Solve for x
    x = 1,498,837,032,900/561,348
  6. Step 6: Final answer
    x = 2,670,067.47

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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.