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Finding the Third Proportional to 445,621 and 962,275

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Solution

The third proportional to 445,621 and 962,275 is: 2,077,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,621 : 962,275 = 962,275 : x
  2. Step 2: Convert to fraction form
    445,621/962,275 = 962,275/x
  3. Step 3: Cross multiply
    445,621x = 962,275 × 962,275
  4. Step 4: Simplify right side
    445,621x = 925,973,175,625
  5. Step 5: Solve for x
    x = 925,973,175,625/445,621
  6. Step 6: Final answer
    x = 2,077,938.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.