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Finding the Third Proportional to 1,196,884 and 2,597,226

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Solution

The third proportional to 1,196,884 and 2,597,226 is: 5,635,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,884 : 2,597,226 = 2,597,226 : x
  2. Step 2: Convert to fraction form
    1,196,884/2,597,226 = 2,597,226/x
  3. Step 3: Cross multiply
    1,196,884x = 2,597,226 × 2,597,226
  4. Step 4: Simplify right side
    1,196,884x = 6,745,582,895,076
  5. Step 5: Solve for x
    x = 6,745,582,895,076/1,196,884
  6. Step 6: Final answer
    x = 5,635,953.77

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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.