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Finding the Third Proportional to 2,854,168 and 3,913,834

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Solution

The third proportional to 2,854,168 and 3,913,834 is: 5,366,921.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,168 : 3,913,834 = 3,913,834 : x
  2. Step 2: Convert to fraction form
    2,854,168/3,913,834 = 3,913,834/x
  3. Step 3: Cross multiply
    2,854,168x = 3,913,834 × 3,913,834
  4. Step 4: Simplify right side
    2,854,168x = 15,318,096,579,556
  5. Step 5: Solve for x
    x = 15,318,096,579,556/2,854,168
  6. Step 6: Final answer
    x = 5,366,921.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.