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Finding the Third Proportional to 959,764 and 2,059,173

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Solution

The third proportional to 959,764 and 2,059,173 is: 4,417,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,764 : 2,059,173 = 2,059,173 : x
  2. Step 2: Convert to fraction form
    959,764/2,059,173 = 2,059,173/x
  3. Step 3: Cross multiply
    959,764x = 2,059,173 × 2,059,173
  4. Step 4: Simplify right side
    959,764x = 4,240,193,443,929
  5. Step 5: Solve for x
    x = 4,240,193,443,929/959,764
  6. Step 6: Final answer
    x = 4,417,954.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.