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Finding the Third Proportional to 428,652 and 933,516

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Solution

The third proportional to 428,652 and 933,516 is: 2,033,006.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,652 : 933,516 = 933,516 : x
  2. Step 2: Convert to fraction form
    428,652/933,516 = 933,516/x
  3. Step 3: Cross multiply
    428,652x = 933,516 × 933,516
  4. Step 4: Simplify right side
    428,652x = 871,452,122,256
  5. Step 5: Solve for x
    x = 871,452,122,256/428,652
  6. Step 6: Final answer
    x = 2,033,006.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.