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Finding the Third Proportional to 424,049 and 922,892

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Solution

The third proportional to 424,049 and 922,892 is: 2,008,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,049 : 922,892 = 922,892 : x
  2. Step 2: Convert to fraction form
    424,049/922,892 = 922,892/x
  3. Step 3: Cross multiply
    424,049x = 922,892 × 922,892
  4. Step 4: Simplify right side
    424,049x = 851,729,643,664
  5. Step 5: Solve for x
    x = 851,729,643,664/424,049
  6. Step 6: Final answer
    x = 2,008,564.21

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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.