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Finding the Third Proportional to 424,133.72 and 922,900.71

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Solution

The third proportional to 424,133.72 and 922,900.71 is: 2,008,200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,133.72 : 922,900.71 = 922,900.71 : x
  2. Step 2: Convert to fraction form
    424,133.72/922,900.71 = 922,900.71/x
  3. Step 3: Cross multiply
    424,133.72x = 922,900.71 × 922,900.71
  4. Step 4: Simplify right side
    424,133.72x = 851,745,722,248.94
  5. Step 5: Solve for x
    x = 851,745,722,248.94/424,133.72
  6. Step 6: Final answer
    x = 2,008,200.92

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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.