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Finding the Third Proportional to 645,674 and 1,500,425

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Solution

The third proportional to 645,674 and 1,500,425 is: 3,486,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,674 : 1,500,425 = 1,500,425 : x
  2. Step 2: Convert to fraction form
    645,674/1,500,425 = 1,500,425/x
  3. Step 3: Cross multiply
    645,674x = 1,500,425 × 1,500,425
  4. Step 4: Simplify right side
    645,674x = 2,251,275,180,625
  5. Step 5: Solve for x
    x = 2,251,275,180,625/645,674
  6. Step 6: Final answer
    x = 3,486,705.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.