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Finding the Third Proportional to 417,408 and 893,904

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Solution

The third proportional to 417,408 and 893,904 is: 1,914,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,408 : 893,904 = 893,904 : x
  2. Step 2: Convert to fraction form
    417,408/893,904 = 893,904/x
  3. Step 3: Cross multiply
    417,408x = 893,904 × 893,904
  4. Step 4: Simplify right side
    417,408x = 799,064,361,216
  5. Step 5: Solve for x
    x = 799,064,361,216/417,408
  6. Step 6: Final answer
    x = 1,914,348.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.