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Finding the Third Proportional to 2,019,999 and 4,432,443

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Solution

The third proportional to 2,019,999 and 4,432,443 is: 9,726,020.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,999 : 4,432,443 = 4,432,443 : x
  2. Step 2: Convert to fraction form
    2,019,999/4,432,443 = 4,432,443/x
  3. Step 3: Cross multiply
    2,019,999x = 4,432,443 × 4,432,443
  4. Step 4: Simplify right side
    2,019,999x = 19,646,550,948,249
  5. Step 5: Solve for x
    x = 19,646,550,948,249/2,019,999
  6. Step 6: Final answer
    x = 9,726,020.14

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