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Finding the Third Proportional to 933,784 and 1,820,912

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Solution

The third proportional to 933,784 and 1,820,912 is: 3,550,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,784 : 1,820,912 = 1,820,912 : x
  2. Step 2: Convert to fraction form
    933,784/1,820,912 = 1,820,912/x
  3. Step 3: Cross multiply
    933,784x = 1,820,912 × 1,820,912
  4. Step 4: Simplify right side
    933,784x = 3,315,720,511,744
  5. Step 5: Solve for x
    x = 3,315,720,511,744/933,784
  6. Step 6: Final answer
    x = 3,550,843.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.