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Finding the Third Proportional to 1,984,176 and 4,306,608

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Solution

The third proportional to 1,984,176 and 4,306,608 is: 9,347,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984,176 : 4,306,608 = 4,306,608 : x
  2. Step 2: Convert to fraction form
    1,984,176/4,306,608 = 4,306,608/x
  3. Step 3: Cross multiply
    1,984,176x = 4,306,608 × 4,306,608
  4. Step 4: Simplify right side
    1,984,176x = 18,546,872,465,664
  5. Step 5: Solve for x
    x = 18,546,872,465,664/1,984,176
  6. Step 6: Final answer
    x = 9,347,392.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.