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Finding the Third Proportional to 1,503,564 and 3,131,536

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Solution

The third proportional to 1,503,564 and 3,131,536 is: 6,522,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503,564 : 3,131,536 = 3,131,536 : x
  2. Step 2: Convert to fraction form
    1,503,564/3,131,536 = 3,131,536/x
  3. Step 3: Cross multiply
    1,503,564x = 3,131,536 × 3,131,536
  4. Step 4: Simplify right side
    1,503,564x = 9,806,517,719,296
  5. Step 5: Solve for x
    x = 9,806,517,719,296/1,503,564
  6. Step 6: Final answer
    x = 6,522,181.78

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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.