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Finding the Third Proportional to 2,106,101 and 4,107,226

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Solution

The third proportional to 2,106,101 and 4,107,226 is: 8,009,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,101 : 4,107,226 = 4,107,226 : x
  2. Step 2: Convert to fraction form
    2,106,101/4,107,226 = 4,107,226/x
  3. Step 3: Cross multiply
    2,106,101x = 4,107,226 × 4,107,226
  4. Step 4: Simplify right side
    2,106,101x = 16,869,305,415,076
  5. Step 5: Solve for x
    x = 16,869,305,415,076/2,106,101
  6. Step 6: Final answer
    x = 8,009,732.40

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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.