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Finding the Third Proportional to 2,036,421 and 4,021,443

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Solution

The third proportional to 2,036,421 and 4,021,443 is: 7,941,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036,421 : 4,021,443 = 4,021,443 : x
  2. Step 2: Convert to fraction form
    2,036,421/4,021,443 = 4,021,443/x
  3. Step 3: Cross multiply
    2,036,421x = 4,021,443 × 4,021,443
  4. Step 4: Simplify right side
    2,036,421x = 16,172,003,802,249
  5. Step 5: Solve for x
    x = 16,172,003,802,249/2,036,421
  6. Step 6: Final answer
    x = 7,941,385.30

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.