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Finding the Third Proportional to 428,712 and 933,600

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Solution

The third proportional to 428,712 and 933,600 is: 2,033,087.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,712 : 933,600 = 933,600 : x
  2. Step 2: Convert to fraction form
    428,712/933,600 = 933,600/x
  3. Step 3: Cross multiply
    428,712x = 933,600 × 933,600
  4. Step 4: Simplify right side
    428,712x = 871,608,960,000
  5. Step 5: Solve for x
    x = 871,608,960,000/428,712
  6. Step 6: Final answer
    x = 2,033,087.39

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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.