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Finding the Third Proportional to 827,904 and 1,814,784

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Solution

The third proportional to 827,904 and 1,814,784 is: 3,978,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,904 : 1,814,784 = 1,814,784 : x
  2. Step 2: Convert to fraction form
    827,904/1,814,784 = 1,814,784/x
  3. Step 3: Cross multiply
    827,904x = 1,814,784 × 1,814,784
  4. Step 4: Simplify right side
    827,904x = 3,293,440,966,656
  5. Step 5: Solve for x
    x = 3,293,440,966,656/827,904
  6. Step 6: Final answer
    x = 3,978,046.93

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