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Finding the Third Proportional to 1,984,075 and 2,968,397

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Solution

The third proportional to 1,984,075 and 2,968,397 is: 4,441,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984,075 : 2,968,397 = 2,968,397 : x
  2. Step 2: Convert to fraction form
    1,984,075/2,968,397 = 2,968,397/x
  3. Step 3: Cross multiply
    1,984,075x = 2,968,397 × 2,968,397
  4. Step 4: Simplify right side
    1,984,075x = 8,811,380,749,609
  5. Step 5: Solve for x
    x = 8,811,380,749,609/1,984,075
  6. Step 6: Final answer
    x = 4,441,052.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.