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Finding the Third Proportional to 413,696 and 893,408

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Solution

The third proportional to 413,696 and 893,408 is: 1,929,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,696 : 893,408 = 893,408 : x
  2. Step 2: Convert to fraction form
    413,696/893,408 = 893,408/x
  3. Step 3: Cross multiply
    413,696x = 893,408 × 893,408
  4. Step 4: Simplify right side
    413,696x = 798,177,854,464
  5. Step 5: Solve for x
    x = 798,177,854,464/413,696
  6. Step 6: Final answer
    x = 1,929,382.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.