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Finding the Third Proportional to 437,348 and 909,611

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Solution

The third proportional to 437,348 and 909,611 is: 1,891,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,348 : 909,611 = 909,611 : x
  2. Step 2: Convert to fraction form
    437,348/909,611 = 909,611/x
  3. Step 3: Cross multiply
    437,348x = 909,611 × 909,611
  4. Step 4: Simplify right side
    437,348x = 827,392,171,321
  5. Step 5: Solve for x
    x = 827,392,171,321/437,348
  6. Step 6: Final answer
    x = 1,891,839.38

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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.