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Finding the Third Proportional to 676,798 and 1,444,927

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Solution

The third proportional to 676,798 and 1,444,927 is: 3,084,840.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,798 : 1,444,927 = 1,444,927 : x
  2. Step 2: Convert to fraction form
    676,798/1,444,927 = 1,444,927/x
  3. Step 3: Cross multiply
    676,798x = 1,444,927 × 1,444,927
  4. Step 4: Simplify right side
    676,798x = 2,087,814,035,329
  5. Step 5: Solve for x
    x = 2,087,814,035,329/676,798
  6. Step 6: Final answer
    x = 3,084,840.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.