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Finding the Third Proportional to 601,713 and 1,321,523

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Solution

The third proportional to 601,713 and 1,321,523 is: 2,902,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,713 : 1,321,523 = 1,321,523 : x
  2. Step 2: Convert to fraction form
    601,713/1,321,523 = 1,321,523/x
  3. Step 3: Cross multiply
    601,713x = 1,321,523 × 1,321,523
  4. Step 4: Simplify right side
    601,713x = 1,746,423,039,529
  5. Step 5: Solve for x
    x = 1,746,423,039,529/601,713
  6. Step 6: Final answer
    x = 2,902,418.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.