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Finding the Third Proportional to 426,792 and 933,936

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Solution

The third proportional to 426,792 and 933,936 is: 2,043,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,792 : 933,936 = 933,936 : x
  2. Step 2: Convert to fraction form
    426,792/933,936 = 933,936/x
  3. Step 3: Cross multiply
    426,792x = 933,936 × 933,936
  4. Step 4: Simplify right side
    426,792x = 872,236,452,096
  5. Step 5: Solve for x
    x = 872,236,452,096/426,792
  6. Step 6: Final answer
    x = 2,043,703.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.