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Finding the Third Proportional to 2,106,594 and 3,178,503

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Solution

The third proportional to 2,106,594 and 3,178,503 is: 4,795,836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,594 : 3,178,503 = 3,178,503 : x
  2. Step 2: Convert to fraction form
    2,106,594/3,178,503 = 3,178,503/x
  3. Step 3: Cross multiply
    2,106,594x = 3,178,503 × 3,178,503
  4. Step 4: Simplify right side
    2,106,594x = 10,102,881,321,009
  5. Step 5: Solve for x
    x = 10,102,881,321,009/2,106,594
  6. Step 6: Final answer
    x = 4,795,836.94

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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.