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Finding the Third Proportional to 645,902 and 1,508,636

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Solution

The third proportional to 645,902 and 1,508,636 is: 3,523,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,902 : 1,508,636 = 1,508,636 : x
  2. Step 2: Convert to fraction form
    645,902/1,508,636 = 1,508,636/x
  3. Step 3: Cross multiply
    645,902x = 1,508,636 × 1,508,636
  4. Step 4: Simplify right side
    645,902x = 2,275,982,580,496
  5. Step 5: Solve for x
    x = 2,275,982,580,496/645,902
  6. Step 6: Final answer
    x = 3,523,727.41

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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.