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Finding the Third Proportional to 2,106,103.50 and 4,107,231

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Solution

The third proportional to 2,106,103.50 and 4,107,231 is: 8,009,742.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,103.50 : 4,107,231 = 4,107,231 : x
  2. Step 2: Convert to fraction form
    2,106,103.50/4,107,231 = 4,107,231/x
  3. Step 3: Cross multiply
    2,106,103.50x = 4,107,231 × 4,107,231
  4. Step 4: Simplify right side
    2,106,103.50x = 16,869,346,487,361
  5. Step 5: Solve for x
    x = 16,869,346,487,361/2,106,103.50
  6. Step 6: Final answer
    x = 8,009,742.39

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.