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Finding the Third Proportional to 770,086.50 and 1,197,129

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Solution

The third proportional to 770,086.50 and 1,197,129 is: 1,860,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,086.50 : 1,197,129 = 1,197,129 : x
  2. Step 2: Convert to fraction form
    770,086.50/1,197,129 = 1,197,129/x
  3. Step 3: Cross multiply
    770,086.50x = 1,197,129 × 1,197,129
  4. Step 4: Simplify right side
    770,086.50x = 1,433,117,842,641
  5. Step 5: Solve for x
    x = 1,433,117,842,641/770,086.50
  6. Step 6: Final answer
    x = 1,860,982.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.