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Finding the Third Proportional to 3,899,745 and 5,705,208

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Solution

The third proportional to 3,899,745 and 5,705,208 is: 8,346,545.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899,745 : 5,705,208 = 5,705,208 : x
  2. Step 2: Convert to fraction form
    3,899,745/5,705,208 = 5,705,208/x
  3. Step 3: Cross multiply
    3,899,745x = 5,705,208 × 5,705,208
  4. Step 4: Simplify right side
    3,899,745x = 32,549,398,323,264
  5. Step 5: Solve for x
    x = 32,549,398,323,264/3,899,745
  6. Step 6: Final answer
    x = 8,346,545.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.