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Finding the Third Proportional to 568,586 and 1,225,741

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Solution

The third proportional to 568,586 and 1,225,741 is: 2,642,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,586 : 1,225,741 = 1,225,741 : x
  2. Step 2: Convert to fraction form
    568,586/1,225,741 = 1,225,741/x
  3. Step 3: Cross multiply
    568,586x = 1,225,741 × 1,225,741
  4. Step 4: Simplify right side
    568,586x = 1,502,440,999,081
  5. Step 5: Solve for x
    x = 1,502,440,999,081/568,586
  6. Step 6: Final answer
    x = 2,642,416.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.