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Finding the Third Proportional to 840,256 and 1,843,784

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Solution

The third proportional to 840,256 and 1,843,784 is: 4,045,837.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,256 : 1,843,784 = 1,843,784 : x
  2. Step 2: Convert to fraction form
    840,256/1,843,784 = 1,843,784/x
  3. Step 3: Cross multiply
    840,256x = 1,843,784 × 1,843,784
  4. Step 4: Simplify right side
    840,256x = 3,399,539,438,656
  5. Step 5: Solve for x
    x = 3,399,539,438,656/840,256
  6. Step 6: Final answer
    x = 4,045,837.74

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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.