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Finding the Third Proportional to 411,912 and 962,340

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Solution

The third proportional to 411,912 and 962,340 is: 2,248,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,912 : 962,340 = 962,340 : x
  2. Step 2: Convert to fraction form
    411,912/962,340 = 962,340/x
  3. Step 3: Cross multiply
    411,912x = 962,340 × 962,340
  4. Step 4: Simplify right side
    411,912x = 926,098,275,600
  5. Step 5: Solve for x
    x = 926,098,275,600/411,912
  6. Step 6: Final answer
    x = 2,248,291.57

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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.