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Finding the Third Proportional to 1,299,186 and 2,834,460

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Solution

The third proportional to 1,299,186 and 2,834,460 is: 6,183,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,186 : 2,834,460 = 2,834,460 : x
  2. Step 2: Convert to fraction form
    1,299,186/2,834,460 = 2,834,460/x
  3. Step 3: Cross multiply
    1,299,186x = 2,834,460 × 2,834,460
  4. Step 4: Simplify right side
    1,299,186x = 8,034,163,491,600
  5. Step 5: Solve for x
    x = 8,034,163,491,600/1,299,186
  6. Step 6: Final answer
    x = 6,183,997.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.