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Finding the Third Proportional to 2,474,358 and 3,831,213

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Solution

The third proportional to 2,474,358 and 3,831,213 is: 5,932,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474,358 : 3,831,213 = 3,831,213 : x
  2. Step 2: Convert to fraction form
    2,474,358/3,831,213 = 3,831,213/x
  3. Step 3: Cross multiply
    2,474,358x = 3,831,213 × 3,831,213
  4. Step 4: Simplify right side
    2,474,358x = 14,678,193,051,369
  5. Step 5: Solve for x
    x = 14,678,193,051,369/2,474,358
  6. Step 6: Final answer
    x = 5,932,121.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.