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Finding the Third Proportional to 451,516 and 965,240

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Solution

The third proportional to 451,516 and 965,240 is: 2,063,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,516 : 965,240 = 965,240 : x
  2. Step 2: Convert to fraction form
    451,516/965,240 = 965,240/x
  3. Step 3: Cross multiply
    451,516x = 965,240 × 965,240
  4. Step 4: Simplify right side
    451,516x = 931,688,257,600
  5. Step 5: Solve for x
    x = 931,688,257,600/451,516
  6. Step 6: Final answer
    x = 2,063,466.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.