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Finding the Third Proportional to 428,868 and 941,760

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Solution

The third proportional to 428,868 and 941,760 is: 2,068,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,868 : 941,760 = 941,760 : x
  2. Step 2: Convert to fraction form
    428,868/941,760 = 941,760/x
  3. Step 3: Cross multiply
    428,868x = 941,760 × 941,760
  4. Step 4: Simplify right side
    428,868x = 886,911,897,600
  5. Step 5: Solve for x
    x = 886,911,897,600/428,868
  6. Step 6: Final answer
    x = 2,068,030.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.