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Finding the Third Proportional to 438,456 and 943,456

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Solution

The third proportional to 438,456 and 943,456 is: 2,030,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,456 : 943,456 = 943,456 : x
  2. Step 2: Convert to fraction form
    438,456/943,456 = 943,456/x
  3. Step 3: Cross multiply
    438,456x = 943,456 × 943,456
  4. Step 4: Simplify right side
    438,456x = 890,109,223,936
  5. Step 5: Solve for x
    x = 890,109,223,936/438,456
  6. Step 6: Final answer
    x = 2,030,099.31

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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.