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Finding the Third Proportional to 783,762.33 and 1,211,309.44

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Solution

The third proportional to 783,762.33 and 1,211,309.44 is: 1,872,086.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,762.33 : 1,211,309.44 = 1,211,309.44 : x
  2. Step 2: Convert to fraction form
    783,762.33/1,211,309.44 = 1,211,309.44/x
  3. Step 3: Cross multiply
    783,762.33x = 1,211,309.44 × 1,211,309.44
  4. Step 4: Simplify right side
    783,762.33x = 1,467,270,553,376.57
  5. Step 5: Solve for x
    x = 1,467,270,553,376.57/783,762.33
  6. Step 6: Final answer
    x = 1,872,086.09

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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.