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Finding the Third Proportional to 2,992,321.50 and 4,738,996.50

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Solution

The third proportional to 2,992,321.50 and 4,738,996.50 is: 7,505,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992,321.50 : 4,738,996.50 = 4,738,996.50 : x
  2. Step 2: Convert to fraction form
    2,992,321.50/4,738,996.50 = 4,738,996.50/x
  3. Step 3: Cross multiply
    2,992,321.50x = 4,738,996.50 × 4,738,996.50
  4. Step 4: Simplify right side
    2,992,321.50x = 22,458,087,827,012.25
  5. Step 5: Solve for x
    x = 22,458,087,827,012.25/2,992,321.50
  6. Step 6: Final answer
    x = 7,505,238.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.