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Finding the Third Proportional to 1,799,796 and 2,531,289

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Solution

The third proportional to 1,799,796 and 2,531,289 is: 3,560,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799,796 : 2,531,289 = 2,531,289 : x
  2. Step 2: Convert to fraction form
    1,799,796/2,531,289 = 2,531,289/x
  3. Step 3: Cross multiply
    1,799,796x = 2,531,289 × 2,531,289
  4. Step 4: Simplify right side
    1,799,796x = 6,407,424,001,521
  5. Step 5: Solve for x
    x = 6,407,424,001,521/1,799,796
  6. Step 6: Final answer
    x = 3,560,083.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.