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Finding the Third Proportional to 453,039 and 944,593.50

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Solution

The third proportional to 453,039 and 944,593.50 is: 1,969,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,039 : 944,593.50 = 944,593.50 : x
  2. Step 2: Convert to fraction form
    453,039/944,593.50 = 944,593.50/x
  3. Step 3: Cross multiply
    453,039x = 944,593.50 × 944,593.50
  4. Step 4: Simplify right side
    453,039x = 892,256,880,242.25
  5. Step 5: Solve for x
    x = 892,256,880,242.25/453,039
  6. Step 6: Final answer
    x = 1,969,492.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.