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Finding the Third Proportional to 442,542.87 and 949,602.23

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Solution

The third proportional to 442,542.87 and 949,602.23 is: 2,037,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,542.87 : 949,602.23 = 949,602.23 : x
  2. Step 2: Convert to fraction form
    442,542.87/949,602.23 = 949,602.23/x
  3. Step 3: Cross multiply
    442,542.87x = 949,602.23 × 949,602.23
  4. Step 4: Simplify right side
    442,542.87x = 901,744,403,529.99
  5. Step 5: Solve for x
    x = 901,744,403,529.99/442,542.87
  6. Step 6: Final answer
    x = 2,037,643.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.