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Finding the Third Proportional to 612,036 and 860,351.63

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Solution

The third proportional to 612,036 and 860,351.63 is: 1,209,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,036 : 860,351.63 = 860,351.63 : x
  2. Step 2: Convert to fraction form
    612,036/860,351.63 = 860,351.63/x
  3. Step 3: Cross multiply
    612,036x = 860,351.63 × 860,351.63
  4. Step 4: Simplify right side
    612,036x = 740,204,918,640.14
  5. Step 5: Solve for x
    x = 740,204,918,640.14/612,036
  6. Step 6: Final answer
    x = 1,209,414.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.