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Finding the Third Proportional to 1,799,924 and 3,802,184

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Solution

The third proportional to 1,799,924 and 3,802,184 is: 8,031,785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799,924 : 3,802,184 = 3,802,184 : x
  2. Step 2: Convert to fraction form
    1,799,924/3,802,184 = 3,802,184/x
  3. Step 3: Cross multiply
    1,799,924x = 3,802,184 × 3,802,184
  4. Step 4: Simplify right side
    1,799,924x = 14,456,603,169,856
  5. Step 5: Solve for x
    x = 14,456,603,169,856/1,799,924
  6. Step 6: Final answer
    x = 8,031,785.33

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.