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Finding the Third Proportional to 2,854,164 and 3,913,828

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Solution

The third proportional to 2,854,164 and 3,913,828 is: 5,366,912.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,164 : 3,913,828 = 3,913,828 : x
  2. Step 2: Convert to fraction form
    2,854,164/3,913,828 = 3,913,828/x
  3. Step 3: Cross multiply
    2,854,164x = 3,913,828 × 3,913,828
  4. Step 4: Simplify right side
    2,854,164x = 15,318,049,613,584
  5. Step 5: Solve for x
    x = 15,318,049,613,584/2,854,164
  6. Step 6: Final answer
    x = 5,366,912.91

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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.