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Finding the Third Proportional to 893,264 and 1,946,872

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Solution

The third proportional to 893,264 and 1,946,872 is: 4,243,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,264 : 1,946,872 = 1,946,872 : x
  2. Step 2: Convert to fraction form
    893,264/1,946,872 = 1,946,872/x
  3. Step 3: Cross multiply
    893,264x = 1,946,872 × 1,946,872
  4. Step 4: Simplify right side
    893,264x = 3,790,310,584,384
  5. Step 5: Solve for x
    x = 3,790,310,584,384/893,264
  6. Step 6: Final answer
    x = 4,243,214.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.