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Finding the Third Proportional to 515,858 and 1,158,692

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Solution

The third proportional to 515,858 and 1,158,692 is: 2,602,590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,858 : 1,158,692 = 1,158,692 : x
  2. Step 2: Convert to fraction form
    515,858/1,158,692 = 1,158,692/x
  3. Step 3: Cross multiply
    515,858x = 1,158,692 × 1,158,692
  4. Step 4: Simplify right side
    515,858x = 1,342,567,150,864
  5. Step 5: Solve for x
    x = 1,342,567,150,864/515,858
  6. Step 6: Final answer
    x = 2,602,590.54

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.