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Finding the Third Proportional to 424,197 and 922,023

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Solution

The third proportional to 424,197 and 922,023 is: 2,004,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,197 : 922,023 = 922,023 : x
  2. Step 2: Convert to fraction form
    424,197/922,023 = 922,023/x
  3. Step 3: Cross multiply
    424,197x = 922,023 × 922,023
  4. Step 4: Simplify right side
    424,197x = 850,126,412,529
  5. Step 5: Solve for x
    x = 850,126,412,529/424,197
  6. Step 6: Final answer
    x = 2,004,083.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.