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Finding the Third Proportional to 654,623.44 and 1,015,976.06

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Solution

The third proportional to 654,623.44 and 1,015,976.06 is: 1,576,795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,623.44 : 1,015,976.06 = 1,015,976.06 : x
  2. Step 2: Convert to fraction form
    654,623.44/1,015,976.06 = 1,015,976.06/x
  3. Step 3: Cross multiply
    654,623.44x = 1,015,976.06 × 1,015,976.06
  4. Step 4: Simplify right side
    654,623.44x = 1,032,207,359,573.00
  5. Step 5: Solve for x
    x = 1,032,207,359,573.00/654,623.44
  6. Step 6: Final answer
    x = 1,576,795.61

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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.