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Finding the Third Proportional to 1,205,256.98 and 2,595,013.26

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Solution

The third proportional to 1,205,256.98 and 2,595,013.26 is: 5,587,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,256.98 : 2,595,013.26 = 2,595,013.26 : x
  2. Step 2: Convert to fraction form
    1,205,256.98/2,595,013.26 = 2,595,013.26/x
  3. Step 3: Cross multiply
    1,205,256.98x = 2,595,013.26 × 2,595,013.26
  4. Step 4: Simplify right side
    1,205,256.98x = 6,734,093,795,551.20
  5. Step 5: Solve for x
    x = 6,734,093,795,551.20/1,205,256.98
  6. Step 6: Final answer
    x = 5,587,268.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.