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Finding the Third Proportional to 393,586 and 841,892

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Solution

The third proportional to 393,586 and 841,892 is: 1,800,831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,586 : 841,892 = 841,892 : x
  2. Step 2: Convert to fraction form
    393,586/841,892 = 841,892/x
  3. Step 3: Cross multiply
    393,586x = 841,892 × 841,892
  4. Step 4: Simplify right side
    393,586x = 708,782,139,664
  5. Step 5: Solve for x
    x = 708,782,139,664/393,586
  6. Step 6: Final answer
    x = 1,800,831.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.