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Finding the Third Proportional to 2,106,546 and 3,178,458

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Solution

The third proportional to 2,106,546 and 3,178,458 is: 4,795,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,546 : 3,178,458 = 3,178,458 : x
  2. Step 2: Convert to fraction form
    2,106,546/3,178,458 = 3,178,458/x
  3. Step 3: Cross multiply
    2,106,546x = 3,178,458 × 3,178,458
  4. Step 4: Simplify right side
    2,106,546x = 10,102,595,257,764
  5. Step 5: Solve for x
    x = 10,102,595,257,764/2,106,546
  6. Step 6: Final answer
    x = 4,795,810.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.