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Finding the Third Proportional to 600,462 and 1,319,022

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Solution

The third proportional to 600,462 and 1,319,022 is: 2,897,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,462 : 1,319,022 = 1,319,022 : x
  2. Step 2: Convert to fraction form
    600,462/1,319,022 = 1,319,022/x
  3. Step 3: Cross multiply
    600,462x = 1,319,022 × 1,319,022
  4. Step 4: Simplify right side
    600,462x = 1,739,819,036,484
  5. Step 5: Solve for x
    x = 1,739,819,036,484/600,462
  6. Step 6: Final answer
    x = 2,897,467.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.