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Finding the Third Proportional to 1,822,434 and 4,218,963

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Solution

The third proportional to 1,822,434 and 4,218,963 is: 9,766,964.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822,434 : 4,218,963 = 4,218,963 : x
  2. Step 2: Convert to fraction form
    1,822,434/4,218,963 = 4,218,963/x
  3. Step 3: Cross multiply
    1,822,434x = 4,218,963 × 4,218,963
  4. Step 4: Simplify right side
    1,822,434x = 17,799,648,795,369
  5. Step 5: Solve for x
    x = 17,799,648,795,369/1,822,434
  6. Step 6: Final answer
    x = 9,766,964.84

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.