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Finding the Third Proportional to 1,486,920 and 3,165,648

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Solution

The third proportional to 1,486,920 and 3,165,648 is: 6,739,654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486,920 : 3,165,648 = 3,165,648 : x
  2. Step 2: Convert to fraction form
    1,486,920/3,165,648 = 3,165,648/x
  3. Step 3: Cross multiply
    1,486,920x = 3,165,648 × 3,165,648
  4. Step 4: Simplify right side
    1,486,920x = 10,021,327,259,904
  5. Step 5: Solve for x
    x = 10,021,327,259,904/1,486,920
  6. Step 6: Final answer
    x = 6,739,654.63

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.