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Finding the Third Proportional to 859,634 and 2,022,077

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Solution

The third proportional to 859,634 and 2,022,077 is: 4,756,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,634 : 2,022,077 = 2,022,077 : x
  2. Step 2: Convert to fraction form
    859,634/2,022,077 = 2,022,077/x
  3. Step 3: Cross multiply
    859,634x = 2,022,077 × 2,022,077
  4. Step 4: Simplify right side
    859,634x = 4,088,795,393,929
  5. Step 5: Solve for x
    x = 4,088,795,393,929/859,634
  6. Step 6: Final answer
    x = 4,756,437.50

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.