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Finding the Third Proportional to 453,324 and 984,264

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Solution

The third proportional to 453,324 and 984,264 is: 2,137,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,324 : 984,264 = 984,264 : x
  2. Step 2: Convert to fraction form
    453,324/984,264 = 984,264/x
  3. Step 3: Cross multiply
    453,324x = 984,264 × 984,264
  4. Step 4: Simplify right side
    453,324x = 968,775,621,696
  5. Step 5: Solve for x
    x = 968,775,621,696/453,324
  6. Step 6: Final answer
    x = 2,137,049.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.