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Finding the Third Proportional to 1,264,822 and 1,660,611

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Solution

The third proportional to 1,264,822 and 1,660,611 is: 2,180,250.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,822 : 1,660,611 = 1,660,611 : x
  2. Step 2: Convert to fraction form
    1,264,822/1,660,611 = 1,660,611/x
  3. Step 3: Cross multiply
    1,264,822x = 1,660,611 × 1,660,611
  4. Step 4: Simplify right side
    1,264,822x = 2,757,628,893,321
  5. Step 5: Solve for x
    x = 2,757,628,893,321/1,264,822
  6. Step 6: Final answer
    x = 2,180,250.58

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.