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Finding the Third Proportional to 490,272 and 1,012,032

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Solution

The third proportional to 490,272 and 1,012,032 is: 2,089,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,272 : 1,012,032 = 1,012,032 : x
  2. Step 2: Convert to fraction form
    490,272/1,012,032 = 1,012,032/x
  3. Step 3: Cross multiply
    490,272x = 1,012,032 × 1,012,032
  4. Step 4: Simplify right side
    490,272x = 1,024,208,769,024
  5. Step 5: Solve for x
    x = 1,024,208,769,024/490,272
  6. Step 6: Final answer
    x = 2,089,062.33

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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.