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Finding the Third Proportional to 439,504 and 949,088

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Solution

The third proportional to 439,504 and 949,088 is: 2,049,510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,504 : 949,088 = 949,088 : x
  2. Step 2: Convert to fraction form
    439,504/949,088 = 949,088/x
  3. Step 3: Cross multiply
    439,504x = 949,088 × 949,088
  4. Step 4: Simplify right side
    439,504x = 900,768,031,744
  5. Step 5: Solve for x
    x = 900,768,031,744/439,504
  6. Step 6: Final answer
    x = 2,049,510.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.