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Finding the Third Proportional to 768,273 and 1,659,643

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Solution

The third proportional to 768,273 and 1,659,643 is: 3,585,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,273 : 1,659,643 = 1,659,643 : x
  2. Step 2: Convert to fraction form
    768,273/1,659,643 = 1,659,643/x
  3. Step 3: Cross multiply
    768,273x = 1,659,643 × 1,659,643
  4. Step 4: Simplify right side
    768,273x = 2,754,414,887,449
  5. Step 5: Solve for x
    x = 2,754,414,887,449/768,273
  6. Step 6: Final answer
    x = 3,585,203.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.