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Finding the Third Proportional to 445,774 and 962,612

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Solution

The third proportional to 445,774 and 962,612 is: 2,078,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,774 : 962,612 = 962,612 : x
  2. Step 2: Convert to fraction form
    445,774/962,612 = 962,612/x
  3. Step 3: Cross multiply
    445,774x = 962,612 × 962,612
  4. Step 4: Simplify right side
    445,774x = 926,621,862,544
  5. Step 5: Solve for x
    x = 926,621,862,544/445,774
  6. Step 6: Final answer
    x = 2,078,680.82

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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.