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Finding the Third Proportional to 933,912 and 1,427,980

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Solution

The third proportional to 933,912 and 1,427,980 is: 2,183,425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,912 : 1,427,980 = 1,427,980 : x
  2. Step 2: Convert to fraction form
    933,912/1,427,980 = 1,427,980/x
  3. Step 3: Cross multiply
    933,912x = 1,427,980 × 1,427,980
  4. Step 4: Simplify right side
    933,912x = 2,039,126,880,400
  5. Step 5: Solve for x
    x = 2,039,126,880,400/933,912
  6. Step 6: Final answer
    x = 2,183,425.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.