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Finding the Third Proportional to 933,120 and 1,399,416

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Solution

The third proportional to 933,120 and 1,399,416 is: 2,098,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,120 : 1,399,416 = 1,399,416 : x
  2. Step 2: Convert to fraction form
    933,120/1,399,416 = 1,399,416/x
  3. Step 3: Cross multiply
    933,120x = 1,399,416 × 1,399,416
  4. Step 4: Simplify right side
    933,120x = 1,958,365,141,056
  5. Step 5: Solve for x
    x = 1,958,365,141,056/933,120
  6. Step 6: Final answer
    x = 2,098,728.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.