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Finding the Third Proportional to 428,614 and 941,844

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Solution

The third proportional to 428,614 and 941,844 is: 2,069,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,614 : 941,844 = 941,844 : x
  2. Step 2: Convert to fraction form
    428,614/941,844 = 941,844/x
  3. Step 3: Cross multiply
    428,614x = 941,844 × 941,844
  4. Step 4: Simplify right side
    428,614x = 887,070,120,336
  5. Step 5: Solve for x
    x = 887,070,120,336/428,614
  6. Step 6: Final answer
    x = 2,069,624.70

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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.