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Finding the Third Proportional to 1,959,099 and 2,968,225.50

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Solution

The third proportional to 1,959,099 and 2,968,225.50 is: 4,497,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959,099 : 2,968,225.50 = 2,968,225.50 : x
  2. Step 2: Convert to fraction form
    1,959,099/2,968,225.50 = 2,968,225.50/x
  3. Step 3: Cross multiply
    1,959,099x = 2,968,225.50 × 2,968,225.50
  4. Step 4: Simplify right side
    1,959,099x = 8,810,362,618,850.25
  5. Step 5: Solve for x
    x = 8,810,362,618,850.25/1,959,099
  6. Step 6: Final answer
    x = 4,497,150.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.