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Finding the Third Proportional to 428,576 and 933,346

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Solution

The third proportional to 428,576 and 933,346 is: 2,032,626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,576 : 933,346 = 933,346 : x
  2. Step 2: Convert to fraction form
    428,576/933,346 = 933,346/x
  3. Step 3: Cross multiply
    428,576x = 933,346 × 933,346
  4. Step 4: Simplify right side
    428,576x = 871,134,755,716
  5. Step 5: Solve for x
    x = 871,134,755,716/428,576
  6. Step 6: Final answer
    x = 2,032,626.08

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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.