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Finding the Third Proportional to 1,367,982 and 2,969,607

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Solution

The third proportional to 1,367,982 and 2,969,607 is: 6,446,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367,982 : 2,969,607 = 2,969,607 : x
  2. Step 2: Convert to fraction form
    1,367,982/2,969,607 = 2,969,607/x
  3. Step 3: Cross multiply
    1,367,982x = 2,969,607 × 2,969,607
  4. Step 4: Simplify right side
    1,367,982x = 8,818,565,734,449
  5. Step 5: Solve for x
    x = 8,818,565,734,449/1,367,982
  6. Step 6: Final answer
    x = 6,446,404.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.