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Finding the Third Proportional to 424,203 and 922,034

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Solution

The third proportional to 424,203 and 922,034 is: 2,004,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,203 : 922,034 = 922,034 : x
  2. Step 2: Convert to fraction form
    424,203/922,034 = 922,034/x
  3. Step 3: Cross multiply
    424,203x = 922,034 × 922,034
  4. Step 4: Simplify right side
    424,203x = 850,146,697,156
  5. Step 5: Solve for x
    x = 850,146,697,156/424,203
  6. Step 6: Final answer
    x = 2,004,103.45

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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.