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Finding the Third Proportional to 424,165 and 922,967

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Solution

The third proportional to 424,165 and 922,967 is: 2,008,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,165 : 922,967 = 922,967 : x
  2. Step 2: Convert to fraction form
    424,165/922,967 = 922,967/x
  3. Step 3: Cross multiply
    424,165x = 922,967 × 922,967
  4. Step 4: Simplify right side
    424,165x = 851,868,083,089
  5. Step 5: Solve for x
    x = 851,868,083,089/424,165
  6. Step 6: Final answer
    x = 2,008,341.29

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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.