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Finding the Third Proportional to 1,804,722.75 and 2,408,356.13

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Solution

The third proportional to 1,804,722.75 and 2,408,356.13 is: 3,213,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804,722.75 : 2,408,356.13 = 2,408,356.13 : x
  2. Step 2: Convert to fraction form
    1,804,722.75/2,408,356.13 = 2,408,356.13/x
  3. Step 3: Cross multiply
    1,804,722.75x = 2,408,356.13 × 2,408,356.13
  4. Step 4: Simplify right side
    1,804,722.75x = 5,800,179,224,825.02
  5. Step 5: Solve for x
    x = 5,800,179,224,825.02/1,804,722.75
  6. Step 6: Final answer
    x = 3,213,889.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.