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Finding the Third Proportional to 2,106,698 and 3,178,637

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Solution

The third proportional to 2,106,698 and 3,178,637 is: 4,796,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,698 : 3,178,637 = 3,178,637 : x
  2. Step 2: Convert to fraction form
    2,106,698/3,178,637 = 3,178,637/x
  3. Step 3: Cross multiply
    2,106,698x = 3,178,637 × 3,178,637
  4. Step 4: Simplify right side
    2,106,698x = 10,103,733,177,769
  5. Step 5: Solve for x
    x = 10,103,733,177,769/2,106,698
  6. Step 6: Final answer
    x = 4,796,004.54

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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.