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Finding the Third Proportional to 664,566 and 1,560,219

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Solution

The third proportional to 664,566 and 1,560,219 is: 3,662,967.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,566 : 1,560,219 = 1,560,219 : x
  2. Step 2: Convert to fraction form
    664,566/1,560,219 = 1,560,219/x
  3. Step 3: Cross multiply
    664,566x = 1,560,219 × 1,560,219
  4. Step 4: Simplify right side
    664,566x = 2,434,283,327,961
  5. Step 5: Solve for x
    x = 2,434,283,327,961/664,566
  6. Step 6: Final answer
    x = 3,662,967.00

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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.