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Finding the Third Proportional to 1,036,195 and 2,229,854

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Solution

The third proportional to 1,036,195 and 2,229,854 is: 4,798,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,195 : 2,229,854 = 2,229,854 : x
  2. Step 2: Convert to fraction form
    1,036,195/2,229,854 = 2,229,854/x
  3. Step 3: Cross multiply
    1,036,195x = 2,229,854 × 2,229,854
  4. Step 4: Simplify right side
    1,036,195x = 4,972,248,861,316
  5. Step 5: Solve for x
    x = 4,972,248,861,316/1,036,195
  6. Step 6: Final answer
    x = 4,798,564.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.