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Finding the Third Proportional to 2,351,461 and 3,436,458

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Solution

The third proportional to 2,351,461 and 3,436,458 is: 5,022,087.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351,461 : 3,436,458 = 3,436,458 : x
  2. Step 2: Convert to fraction form
    2,351,461/3,436,458 = 3,436,458/x
  3. Step 3: Cross multiply
    2,351,461x = 3,436,458 × 3,436,458
  4. Step 4: Simplify right side
    2,351,461x = 11,809,243,585,764
  5. Step 5: Solve for x
    x = 11,809,243,585,764/2,351,461
  6. Step 6: Final answer
    x = 5,022,087.79

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