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Finding the Third Proportional to 1,958,981.50 and 2,968,100

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Solution

The third proportional to 1,958,981.50 and 2,968,100 is: 4,497,039.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958,981.50 : 2,968,100 = 2,968,100 : x
  2. Step 2: Convert to fraction form
    1,958,981.50/2,968,100 = 2,968,100/x
  3. Step 3: Cross multiply
    1,958,981.50x = 2,968,100 × 2,968,100
  4. Step 4: Simplify right side
    1,958,981.50x = 8,809,617,610,000
  5. Step 5: Solve for x
    x = 8,809,617,610,000/1,958,981.50
  6. Step 6: Final answer
    x = 4,497,039.72

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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.