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Finding the Third Proportional to 445,598 and 962,220

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Solution

The third proportional to 445,598 and 962,220 is: 2,077,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,598 : 962,220 = 962,220 : x
  2. Step 2: Convert to fraction form
    445,598/962,220 = 962,220/x
  3. Step 3: Cross multiply
    445,598x = 962,220 × 962,220
  4. Step 4: Simplify right side
    445,598x = 925,867,328,400
  5. Step 5: Solve for x
    x = 925,867,328,400/445,598
  6. Step 6: Final answer
    x = 2,077,808.54

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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.