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Finding the Third Proportional to 865,408 and 1,893,696

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Solution

The third proportional to 865,408 and 1,893,696 is: 4,143,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,408 : 1,893,696 = 1,893,696 : x
  2. Step 2: Convert to fraction form
    865,408/1,893,696 = 1,893,696/x
  3. Step 3: Cross multiply
    865,408x = 1,893,696 × 1,893,696
  4. Step 4: Simplify right side
    865,408x = 3,586,084,540,416
  5. Step 5: Solve for x
    x = 3,586,084,540,416/865,408
  6. Step 6: Final answer
    x = 4,143,807.94

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Why These Related Problems?

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