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Finding the Third Proportional to 2,854,845 and 4,168,341

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Solution

The third proportional to 2,854,845 and 4,168,341 is: 6,086,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,845 : 4,168,341 = 4,168,341 : x
  2. Step 2: Convert to fraction form
    2,854,845/4,168,341 = 4,168,341/x
  3. Step 3: Cross multiply
    2,854,845x = 4,168,341 × 4,168,341
  4. Step 4: Simplify right side
    2,854,845x = 17,375,066,692,281
  5. Step 5: Solve for x
    x = 17,375,066,692,281/2,854,845
  6. Step 6: Final answer
    x = 6,086,168.14

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