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Finding the Third Proportional to 569,571 and 1,212,762

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Solution

The third proportional to 569,571 and 1,212,762 is: 2,582,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,571 : 1,212,762 = 1,212,762 : x
  2. Step 2: Convert to fraction form
    569,571/1,212,762 = 1,212,762/x
  3. Step 3: Cross multiply
    569,571x = 1,212,762 × 1,212,762
  4. Step 4: Simplify right side
    569,571x = 1,470,791,668,644
  5. Step 5: Solve for x
    x = 1,470,791,668,644/569,571
  6. Step 6: Final answer
    x = 2,582,279.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.