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Finding the Third Proportional to 2,351,457 and 3,436,452.56

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Solution

The third proportional to 2,351,457 and 3,436,452.56 is: 5,022,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351,457 : 3,436,452.56 = 3,436,452.56 : x
  2. Step 2: Convert to fraction form
    2,351,457/3,436,452.56 = 3,436,452.56/x
  3. Step 3: Cross multiply
    2,351,457x = 3,436,452.56 × 3,436,452.56
  4. Step 4: Simplify right side
    2,351,457x = 11,809,206,214,312.82
  5. Step 5: Solve for x
    x = 11,809,206,214,312.82/2,351,457
  6. Step 6: Final answer
    x = 5,022,080.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.