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Finding the Third Proportional to 1,538,068.50 and 3,365,745.75

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Solution

The third proportional to 1,538,068.50 and 3,365,745.75 is: 7,365,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,068.50 : 3,365,745.75 = 3,365,745.75 : x
  2. Step 2: Convert to fraction form
    1,538,068.50/3,365,745.75 = 3,365,745.75/x
  3. Step 3: Cross multiply
    1,538,068.50x = 3,365,745.75 × 3,365,745.75
  4. Step 4: Simplify right side
    1,538,068.50x = 11,328,244,453,643.06
  5. Step 5: Solve for x
    x = 11,328,244,453,643.06/1,538,068.50
  6. Step 6: Final answer
    x = 7,365,240.53

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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.