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Finding the Third Proportional to 1,397,022 and 2,977,212

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Solution

The third proportional to 1,397,022 and 2,977,212 is: 6,344,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,022 : 2,977,212 = 2,977,212 : x
  2. Step 2: Convert to fraction form
    1,397,022/2,977,212 = 2,977,212/x
  3. Step 3: Cross multiply
    1,397,022x = 2,977,212 × 2,977,212
  4. Step 4: Simplify right side
    1,397,022x = 8,863,791,292,944
  5. Step 5: Solve for x
    x = 8,863,791,292,944/1,397,022
  6. Step 6: Final answer
    x = 6,344,775.74

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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.