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Finding the Third Proportional to 601,944.75 and 1,253,712

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Solution

The third proportional to 601,944.75 and 1,253,712 is: 2,611,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,944.75 : 1,253,712 = 1,253,712 : x
  2. Step 2: Convert to fraction form
    601,944.75/1,253,712 = 1,253,712/x
  3. Step 3: Cross multiply
    601,944.75x = 1,253,712 × 1,253,712
  4. Step 4: Simplify right side
    601,944.75x = 1,571,793,778,944
  5. Step 5: Solve for x
    x = 1,571,793,778,944/601,944.75
  6. Step 6: Final answer
    x = 2,611,192.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.