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Finding the Third Proportional to 933,408 and 1,408,656

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Solution

The third proportional to 933,408 and 1,408,656 is: 2,125,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,408 : 1,408,656 = 1,408,656 : x
  2. Step 2: Convert to fraction form
    933,408/1,408,656 = 1,408,656/x
  3. Step 3: Cross multiply
    933,408x = 1,408,656 × 1,408,656
  4. Step 4: Simplify right side
    933,408x = 1,984,311,726,336
  5. Step 5: Solve for x
    x = 1,984,311,726,336/933,408
  6. Step 6: Final answer
    x = 2,125,878.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.