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Finding the Third Proportional to 2,019,984 and 4,420,020

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Solution

The third proportional to 2,019,984 and 4,420,020 is: 9,671,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,984 : 4,420,020 = 4,420,020 : x
  2. Step 2: Convert to fraction form
    2,019,984/4,420,020 = 4,420,020/x
  3. Step 3: Cross multiply
    2,019,984x = 4,420,020 × 4,420,020
  4. Step 4: Simplify right side
    2,019,984x = 19,536,576,800,400
  5. Step 5: Solve for x
    x = 19,536,576,800,400/2,019,984
  6. Step 6: Final answer
    x = 9,671,649.28

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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.