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Finding the Third Proportional to 429,954 and 933,534

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Solution

The third proportional to 429,954 and 933,534 is: 2,026,927.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,954 : 933,534 = 933,534 : x
  2. Step 2: Convert to fraction form
    429,954/933,534 = 933,534/x
  3. Step 3: Cross multiply
    429,954x = 933,534 × 933,534
  4. Step 4: Simplify right side
    429,954x = 871,485,729,156
  5. Step 5: Solve for x
    x = 871,485,729,156/429,954
  6. Step 6: Final answer
    x = 2,026,927.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.