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Finding the Third Proportional to 1,203,674 and 1,869,784

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Solution

The third proportional to 1,203,674 and 1,869,784 is: 2,904,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,674 : 1,869,784 = 1,869,784 : x
  2. Step 2: Convert to fraction form
    1,203,674/1,869,784 = 1,869,784/x
  3. Step 3: Cross multiply
    1,203,674x = 1,869,784 × 1,869,784
  4. Step 4: Simplify right side
    1,203,674x = 3,496,092,206,656
  5. Step 5: Solve for x
    x = 3,496,092,206,656/1,203,674
  6. Step 6: Final answer
    x = 2,904,517.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.