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Finding the Third Proportional to 1,299,164 and 2,834,416

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Solution

The third proportional to 1,299,164 and 2,834,416 is: 6,183,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,164 : 2,834,416 = 2,834,416 : x
  2. Step 2: Convert to fraction form
    1,299,164/2,834,416 = 2,834,416/x
  3. Step 3: Cross multiply
    1,299,164x = 2,834,416 × 2,834,416
  4. Step 4: Simplify right side
    1,299,164x = 8,033,914,061,056
  5. Step 5: Solve for x
    x = 8,033,914,061,056/1,299,164
  6. Step 6: Final answer
    x = 6,183,910.62

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Why These Related Problems?

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