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Finding the Third Proportional to 765,102 and 1,647,276

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Solution

The third proportional to 765,102 and 1,647,276 is: 3,546,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,102 : 1,647,276 = 1,647,276 : x
  2. Step 2: Convert to fraction form
    765,102/1,647,276 = 1,647,276/x
  3. Step 3: Cross multiply
    765,102x = 1,647,276 × 1,647,276
  4. Step 4: Simplify right side
    765,102x = 2,713,518,220,176
  5. Step 5: Solve for x
    x = 2,713,518,220,176/765,102
  6. Step 6: Final answer
    x = 3,546,609.76

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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.