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Finding the Third Proportional to 601,586 and 1,337,668

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Solution

The third proportional to 601,586 and 1,337,668 is: 2,974,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,586 : 1,337,668 = 1,337,668 : x
  2. Step 2: Convert to fraction form
    601,586/1,337,668 = 1,337,668/x
  3. Step 3: Cross multiply
    601,586x = 1,337,668 × 1,337,668
  4. Step 4: Simplify right side
    601,586x = 1,789,355,678,224
  5. Step 5: Solve for x
    x = 1,789,355,678,224/601,586
  6. Step 6: Final answer
    x = 2,974,397.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.