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Finding the Third Proportional to 425,194 and 922,376

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Solution

The third proportional to 425,194 and 922,376 is: 2,000,916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,194 : 922,376 = 922,376 : x
  2. Step 2: Convert to fraction form
    425,194/922,376 = 922,376/x
  3. Step 3: Cross multiply
    425,194x = 922,376 × 922,376
  4. Step 4: Simplify right side
    425,194x = 850,777,485,376
  5. Step 5: Solve for x
    x = 850,777,485,376/425,194
  6. Step 6: Final answer
    x = 2,000,916.02

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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.