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Finding the Third Proportional to 807,647.50 and 1,250,415.50

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Solution

The third proportional to 807,647.50 and 1,250,415.50 is: 1,935,917.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,647.50 : 1,250,415.50 = 1,250,415.50 : x
  2. Step 2: Convert to fraction form
    807,647.50/1,250,415.50 = 1,250,415.50/x
  3. Step 3: Cross multiply
    807,647.50x = 1,250,415.50 × 1,250,415.50
  4. Step 4: Simplify right side
    807,647.50x = 1,563,538,922,640.25
  5. Step 5: Solve for x
    x = 1,563,538,922,640.25/807,647.50
  6. Step 6: Final answer
    x = 1,935,917.49

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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.