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Finding the Third Proportional to 1,027,128 and 2,290,296

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Solution

The third proportional to 1,027,128 and 2,290,296 is: 5,106,915.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,128 : 2,290,296 = 2,290,296 : x
  2. Step 2: Convert to fraction form
    1,027,128/2,290,296 = 2,290,296/x
  3. Step 3: Cross multiply
    1,027,128x = 2,290,296 × 2,290,296
  4. Step 4: Simplify right side
    1,027,128x = 5,245,455,767,616
  5. Step 5: Solve for x
    x = 5,245,455,767,616/1,027,128
  6. Step 6: Final answer
    x = 5,106,915.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.