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Finding the Third Proportional to 3,160,032 and 4,768,021

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Solution

The third proportional to 3,160,032 and 4,768,021 is: 7,194,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160,032 : 4,768,021 = 4,768,021 : x
  2. Step 2: Convert to fraction form
    3,160,032/4,768,021 = 4,768,021/x
  3. Step 3: Cross multiply
    3,160,032x = 4,768,021 × 4,768,021
  4. Step 4: Simplify right side
    3,160,032x = 22,734,024,256,441
  5. Step 5: Solve for x
    x = 22,734,024,256,441/3,160,032
  6. Step 6: Final answer
    x = 7,194,238.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.