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Finding the Third Proportional to 1,299,156 and 2,834,400

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Solution

The third proportional to 1,299,156 and 2,834,400 is: 6,183,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,156 : 2,834,400 = 2,834,400 : x
  2. Step 2: Convert to fraction form
    1,299,156/2,834,400 = 2,834,400/x
  3. Step 3: Cross multiply
    1,299,156x = 2,834,400 × 2,834,400
  4. Step 4: Simplify right side
    1,299,156x = 8,033,823,360,000
  5. Step 5: Solve for x
    x = 8,033,823,360,000/1,299,156
  6. Step 6: Final answer
    x = 6,183,878.89

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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.