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Finding the Third Proportional to 450,620 and 984,340

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Solution

The third proportional to 450,620 and 984,340 is: 2,150,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,620 : 984,340 = 984,340 : x
  2. Step 2: Convert to fraction form
    450,620/984,340 = 984,340/x
  3. Step 3: Cross multiply
    450,620x = 984,340 × 984,340
  4. Step 4: Simplify right side
    450,620x = 968,925,235,600
  5. Step 5: Solve for x
    x = 968,925,235,600/450,620
  6. Step 6: Final answer
    x = 2,150,204.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.