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Finding the Third Proportional to 453,460 and 936,296

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Solution

The third proportional to 453,460 and 936,296 is: 1,933,247.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,460 : 936,296 = 936,296 : x
  2. Step 2: Convert to fraction form
    453,460/936,296 = 936,296/x
  3. Step 3: Cross multiply
    453,460x = 936,296 × 936,296
  4. Step 4: Simplify right side
    453,460x = 876,650,199,616
  5. Step 5: Solve for x
    x = 876,650,199,616/453,460
  6. Step 6: Final answer
    x = 1,933,247.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.