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Finding the Third Proportional to 860,168 and 1,203,066

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Solution

The third proportional to 860,168 and 1,203,066 is: 1,682,657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,168 : 1,203,066 = 1,203,066 : x
  2. Step 2: Convert to fraction form
    860,168/1,203,066 = 1,203,066/x
  3. Step 3: Cross multiply
    860,168x = 1,203,066 × 1,203,066
  4. Step 4: Simplify right side
    860,168x = 1,447,367,800,356
  5. Step 5: Solve for x
    x = 1,447,367,800,356/860,168
  6. Step 6: Final answer
    x = 1,682,657.11

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