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Finding the Third Proportional to 2,091,825 and 4,535,757

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Solution

The third proportional to 2,091,825 and 4,535,757 is: 9,834,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091,825 : 4,535,757 = 4,535,757 : x
  2. Step 2: Convert to fraction form
    2,091,825/4,535,757 = 4,535,757/x
  3. Step 3: Cross multiply
    2,091,825x = 4,535,757 × 4,535,757
  4. Step 4: Simplify right side
    2,091,825x = 20,573,091,563,049
  5. Step 5: Solve for x
    x = 20,573,091,563,049/2,091,825
  6. Step 6: Final answer
    x = 9,834,996.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.