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Finding the Third Proportional to 2,351,465.28 and 3,436,465.82

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Solution

The third proportional to 2,351,465.28 and 3,436,465.82 is: 5,022,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351,465.28 : 3,436,465.82 = 3,436,465.82 : x
  2. Step 2: Convert to fraction form
    2,351,465.28/3,436,465.82 = 3,436,465.82/x
  3. Step 3: Cross multiply
    2,351,465.28x = 3,436,465.82 × 3,436,465.82
  4. Step 4: Simplify right side
    2,351,465.28x = 11,809,297,307,328.33
  5. Step 5: Solve for x
    x = 11,809,297,307,328.33/2,351,465.28
  6. Step 6: Final answer
    x = 5,022,101.50

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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.