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Finding the Third Proportional to 1,297,014.38 and 1,847,621.25

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Solution

The third proportional to 1,297,014.38 and 1,847,621.25 is: 2,631,971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,014.38 : 1,847,621.25 = 1,847,621.25 : x
  2. Step 2: Convert to fraction form
    1,297,014.38/1,847,621.25 = 1,847,621.25/x
  3. Step 3: Cross multiply
    1,297,014.38x = 1,847,621.25 × 1,847,621.25
  4. Step 4: Simplify right side
    1,297,014.38x = 3,413,704,283,451.56
  5. Step 5: Solve for x
    x = 3,413,704,283,451.56/1,297,014.38
  6. Step 6: Final answer
    x = 2,631,971.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.