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Finding the Third Proportional to 565,842 and 1,231,194

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Solution

The third proportional to 565,842 and 1,231,194 is: 2,678,908.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,842 : 1,231,194 = 1,231,194 : x
  2. Step 2: Convert to fraction form
    565,842/1,231,194 = 1,231,194/x
  3. Step 3: Cross multiply
    565,842x = 1,231,194 × 1,231,194
  4. Step 4: Simplify right side
    565,842x = 1,515,838,665,636
  5. Step 5: Solve for x
    x = 1,515,838,665,636/565,842
  6. Step 6: Final answer
    x = 2,678,908.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.