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Finding the Third Proportional to 437,034 and 950,976

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Solution

The third proportional to 437,034 and 950,976 is: 2,069,302.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,034 : 950,976 = 950,976 : x
  2. Step 2: Convert to fraction form
    437,034/950,976 = 950,976/x
  3. Step 3: Cross multiply
    437,034x = 950,976 × 950,976
  4. Step 4: Simplify right side
    437,034x = 904,355,352,576
  5. Step 5: Solve for x
    x = 904,355,352,576/437,034
  6. Step 6: Final answer
    x = 2,069,302.05

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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.