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Finding the Third Proportional to 860,166 and 1,203,063

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Solution

The third proportional to 860,166 and 1,203,063 is: 1,682,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,166 : 1,203,063 = 1,203,063 : x
  2. Step 2: Convert to fraction form
    860,166/1,203,063 = 1,203,063/x
  3. Step 3: Cross multiply
    860,166x = 1,203,063 × 1,203,063
  4. Step 4: Simplify right side
    860,166x = 1,447,360,581,969
  5. Step 5: Solve for x
    x = 1,447,360,581,969/860,166
  6. Step 6: Final answer
    x = 1,682,652.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.