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Finding the Third Proportional to 933,602 and 1,408,974

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Solution

The third proportional to 933,602 and 1,408,974 is: 2,126,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,602 : 1,408,974 = 1,408,974 : x
  2. Step 2: Convert to fraction form
    933,602/1,408,974 = 1,408,974/x
  3. Step 3: Cross multiply
    933,602x = 1,408,974 × 1,408,974
  4. Step 4: Simplify right side
    933,602x = 1,985,207,732,676
  5. Step 5: Solve for x
    x = 1,985,207,732,676/933,602
  6. Step 6: Final answer
    x = 2,126,396.19

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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.