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Finding the Third Proportional to 2,105,926 and 4,548,094

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Solution

The third proportional to 2,105,926 and 4,548,094 is: 9,822,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,926 : 4,548,094 = 4,548,094 : x
  2. Step 2: Convert to fraction form
    2,105,926/4,548,094 = 4,548,094/x
  3. Step 3: Cross multiply
    2,105,926x = 4,548,094 × 4,548,094
  4. Step 4: Simplify right side
    2,105,926x = 20,685,159,032,836
  5. Step 5: Solve for x
    x = 20,685,159,032,836/2,105,926
  6. Step 6: Final answer
    x = 9,822,357.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.