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Finding the Third Proportional to 510,798 and 1,121,226

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Solution

The third proportional to 510,798 and 1,121,226 is: 2,461,144.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,798 : 1,121,226 = 1,121,226 : x
  2. Step 2: Convert to fraction form
    510,798/1,121,226 = 1,121,226/x
  3. Step 3: Cross multiply
    510,798x = 1,121,226 × 1,121,226
  4. Step 4: Simplify right side
    510,798x = 1,257,147,743,076
  5. Step 5: Solve for x
    x = 1,257,147,743,076/510,798
  6. Step 6: Final answer
    x = 2,461,144.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.