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Finding the Third Proportional to 770,077 and 1,197,112.50

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Solution

The third proportional to 770,077 and 1,197,112.50 is: 1,860,954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,077 : 1,197,112.50 = 1,197,112.50 : x
  2. Step 2: Convert to fraction form
    770,077/1,197,112.50 = 1,197,112.50/x
  3. Step 3: Cross multiply
    770,077x = 1,197,112.50 × 1,197,112.50
  4. Step 4: Simplify right side
    770,077x = 1,433,078,337,656.25
  5. Step 5: Solve for x
    x = 1,433,078,337,656.25/770,077
  6. Step 6: Final answer
    x = 1,860,954.60

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Why These Related Problems?

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