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Finding the Third Proportional to 424,051 and 922,894

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Solution

The third proportional to 424,051 and 922,894 is: 2,008,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,051 : 922,894 = 922,894 : x
  2. Step 2: Convert to fraction form
    424,051/922,894 = 922,894/x
  3. Step 3: Cross multiply
    424,051x = 922,894 × 922,894
  4. Step 4: Simplify right side
    424,051x = 851,733,335,236
  5. Step 5: Solve for x
    x = 851,733,335,236/424,051
  6. Step 6: Final answer
    x = 2,008,563.44

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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.