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Finding the Third Proportional to 645,899 and 1,508,631

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Solution

The third proportional to 645,899 and 1,508,631 is: 3,523,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,899 : 1,508,631 = 1,508,631 : x
  2. Step 2: Convert to fraction form
    645,899/1,508,631 = 1,508,631/x
  3. Step 3: Cross multiply
    645,899x = 1,508,631 × 1,508,631
  4. Step 4: Simplify right side
    645,899x = 2,275,967,494,161
  5. Step 5: Solve for x
    x = 2,275,967,494,161/645,899
  6. Step 6: Final answer
    x = 3,523,720.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.