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Finding the Third Proportional to 501,474 and 1,044,420

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Solution

The third proportional to 501,474 and 1,044,420 is: 2,175,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,474 : 1,044,420 = 1,044,420 : x
  2. Step 2: Convert to fraction form
    501,474/1,044,420 = 1,044,420/x
  3. Step 3: Cross multiply
    501,474x = 1,044,420 × 1,044,420
  4. Step 4: Simplify right side
    501,474x = 1,090,813,136,400
  5. Step 5: Solve for x
    x = 1,090,813,136,400/501,474
  6. Step 6: Final answer
    x = 2,175,213.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.