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Finding the Third Proportional to 1,757,814 and 3,764,460

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Solution

The third proportional to 1,757,814 and 3,764,460 is: 8,061,808.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757,814 : 3,764,460 = 3,764,460 : x
  2. Step 2: Convert to fraction form
    1,757,814/3,764,460 = 3,764,460/x
  3. Step 3: Cross multiply
    1,757,814x = 3,764,460 × 3,764,460
  4. Step 4: Simplify right side
    1,757,814x = 14,171,159,091,600
  5. Step 5: Solve for x
    x = 14,171,159,091,600/1,757,814
  6. Step 6: Final answer
    x = 8,061,808.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.