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Finding the Third Proportional to 1,420,202 and 1,997,607

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Solution

The third proportional to 1,420,202 and 1,997,607 is: 2,809,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,202 : 1,997,607 = 1,997,607 : x
  2. Step 2: Convert to fraction form
    1,420,202/1,997,607 = 1,997,607/x
  3. Step 3: Cross multiply
    1,420,202x = 1,997,607 × 1,997,607
  4. Step 4: Simplify right side
    1,420,202x = 3,990,433,726,449
  5. Step 5: Solve for x
    x = 3,990,433,726,449/1,420,202
  6. Step 6: Final answer
    x = 2,809,764.90

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.