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Finding the Third Proportional to 437,889 and 943,305

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Solution

The third proportional to 437,889 and 943,305 is: 2,032,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,889 : 943,305 = 943,305 : x
  2. Step 2: Convert to fraction form
    437,889/943,305 = 943,305/x
  3. Step 3: Cross multiply
    437,889x = 943,305 × 943,305
  4. Step 4: Simplify right side
    437,889x = 889,824,323,025
  5. Step 5: Solve for x
    x = 889,824,323,025/437,889
  6. Step 6: Final answer
    x = 2,032,077.36

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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.