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Finding the Third Proportional to 420,184 and 922,008

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Solution

The third proportional to 420,184 and 922,008 is: 2,023,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,184 : 922,008 = 922,008 : x
  2. Step 2: Convert to fraction form
    420,184/922,008 = 922,008/x
  3. Step 3: Cross multiply
    420,184x = 922,008 × 922,008
  4. Step 4: Simplify right side
    420,184x = 850,098,752,064
  5. Step 5: Solve for x
    x = 850,098,752,064/420,184
  6. Step 6: Final answer
    x = 2,023,158.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.