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Finding the Third Proportional to 2,106,099 and 4,107,222

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Solution

The third proportional to 2,106,099 and 4,107,222 is: 8,009,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,099 : 4,107,222 = 4,107,222 : x
  2. Step 2: Convert to fraction form
    2,106,099/4,107,222 = 4,107,222/x
  3. Step 3: Cross multiply
    2,106,099x = 4,107,222 × 4,107,222
  4. Step 4: Simplify right side
    2,106,099x = 16,869,272,557,284
  5. Step 5: Solve for x
    x = 16,869,272,557,284/2,106,099
  6. Step 6: Final answer
    x = 8,009,724.40

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