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Finding the Third Proportional to 1,958,991 and 2,968,114.50

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Solution

The third proportional to 1,958,991 and 2,968,114.50 is: 4,497,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958,991 : 2,968,114.50 = 2,968,114.50 : x
  2. Step 2: Convert to fraction form
    1,958,991/2,968,114.50 = 2,968,114.50/x
  3. Step 3: Cross multiply
    1,958,991x = 2,968,114.50 × 2,968,114.50
  4. Step 4: Simplify right side
    1,958,991x = 8,809,703,685,110.25
  5. Step 5: Solve for x
    x = 8,809,703,685,110.25/1,958,991
  6. Step 6: Final answer
    x = 4,497,061.85

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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.