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Finding the Third Proportional to 1,944,973 and 2,854,399

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Solution

The third proportional to 1,944,973 and 2,854,399 is: 4,189,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944,973 : 2,854,399 = 2,854,399 : x
  2. Step 2: Convert to fraction form
    1,944,973/2,854,399 = 2,854,399/x
  3. Step 3: Cross multiply
    1,944,973x = 2,854,399 × 2,854,399
  4. Step 4: Simplify right side
    1,944,973x = 8,147,593,651,201
  5. Step 5: Solve for x
    x = 8,147,593,651,201/1,944,973
  6. Step 6: Final answer
    x = 4,189,052.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.