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Finding the Third Proportional to 561,235 and 1,231,128

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Solution

The third proportional to 561,235 and 1,231,128 is: 2,700,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,235 : 1,231,128 = 1,231,128 : x
  2. Step 2: Convert to fraction form
    561,235/1,231,128 = 1,231,128/x
  3. Step 3: Cross multiply
    561,235x = 1,231,128 × 1,231,128
  4. Step 4: Simplify right side
    561,235x = 1,515,676,152,384
  5. Step 5: Solve for x
    x = 1,515,676,152,384/561,235
  6. Step 6: Final answer
    x = 2,700,608.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.