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Finding the Third Proportional to 933,966 and 1,947,588

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Solution

The third proportional to 933,966 and 1,947,588 is: 4,061,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,966 : 1,947,588 = 1,947,588 : x
  2. Step 2: Convert to fraction form
    933,966/1,947,588 = 1,947,588/x
  3. Step 3: Cross multiply
    933,966x = 1,947,588 × 1,947,588
  4. Step 4: Simplify right side
    933,966x = 3,793,099,017,744
  5. Step 5: Solve for x
    x = 3,793,099,017,744/933,966
  6. Step 6: Final answer
    x = 4,061,281.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.