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Finding the Third Proportional to 1,515,564 and 3,283,384

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Solution

The third proportional to 1,515,564 and 3,283,384 is: 7,113,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515,564 : 3,283,384 = 3,283,384 : x
  2. Step 2: Convert to fraction form
    1,515,564/3,283,384 = 3,283,384/x
  3. Step 3: Cross multiply
    1,515,564x = 3,283,384 × 3,283,384
  4. Step 4: Simplify right side
    1,515,564x = 10,780,610,491,456
  5. Step 5: Solve for x
    x = 10,780,610,491,456/1,515,564
  6. Step 6: Final answer
    x = 7,113,266.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.