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Finding the Third Proportional to 860,881.50 and 1,091,542.50

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Solution

The third proportional to 860,881.50 and 1,091,542.50 is: 1,384,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    860,881.50 : 1,091,542.50 = 1,091,542.50 : x
  2. Step 2: Convert to fraction form
    860,881.50/1,091,542.50 = 1,091,542.50/x
  3. Step 3: Cross multiply
    860,881.50x = 1,091,542.50 × 1,091,542.50
  4. Step 4: Simplify right side
    860,881.50x = 1,191,465,029,306.25
  5. Step 5: Solve for x
    x = 1,191,465,029,306.25/860,881.50
  6. Step 6: Final answer
    x = 1,384,005.85

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.