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Finding the Third Proportional to 928,032 and 2,026,512

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Solution

The third proportional to 928,032 and 2,026,512 is: 4,425,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,032 : 2,026,512 = 2,026,512 : x
  2. Step 2: Convert to fraction form
    928,032/2,026,512 = 2,026,512/x
  3. Step 3: Cross multiply
    928,032x = 2,026,512 × 2,026,512
  4. Step 4: Simplify right side
    928,032x = 4,106,750,886,144
  5. Step 5: Solve for x
    x = 4,106,750,886,144/928,032
  6. Step 6: Final answer
    x = 4,425,225.52

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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.