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Finding the Third Proportional to 601,946 and 1,253,713

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Solution

The third proportional to 601,946 and 1,253,713 is: 2,611,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,946 : 1,253,713 = 1,253,713 : x
  2. Step 2: Convert to fraction form
    601,946/1,253,713 = 1,253,713/x
  3. Step 3: Cross multiply
    601,946x = 1,253,713 × 1,253,713
  4. Step 4: Simplify right side
    601,946x = 1,571,796,286,369
  5. Step 5: Solve for x
    x = 1,571,796,286,369/601,946
  6. Step 6: Final answer
    x = 2,611,191.51

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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.