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Finding the Third Proportional to 786,644.16 and 1,722,778.88

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Solution

The third proportional to 786,644.16 and 1,722,778.88 is: 3,772,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,644.16 : 1,722,778.88 = 1,722,778.88 : x
  2. Step 2: Convert to fraction form
    786,644.16/1,722,778.88 = 1,722,778.88/x
  3. Step 3: Cross multiply
    786,644.16x = 1,722,778.88 × 1,722,778.88
  4. Step 4: Simplify right side
    786,644.16x = 2,967,967,052,146.27
  5. Step 5: Solve for x
    x = 2,967,967,052,146.27/786,644.16
  6. Step 6: Final answer
    x = 3,772,947.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.