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Finding the Third Proportional to 445,621.88 and 962,261.06

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Solution

The third proportional to 445,621.88 and 962,261.06 is: 2,077,874.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,621.88 : 962,261.06 = 962,261.06 : x
  2. Step 2: Convert to fraction form
    445,621.88/962,261.06 = 962,261.06/x
  3. Step 3: Cross multiply
    445,621.88x = 962,261.06 × 962,261.06
  4. Step 4: Simplify right side
    445,621.88x = 925,946,352,403.63
  5. Step 5: Solve for x
    x = 925,946,352,403.63/445,621.88
  6. Step 6: Final answer
    x = 2,077,874.55

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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.