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Finding the Third Proportional to 929,132 and 1,969,910

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Solution

The third proportional to 929,132 and 1,969,910 is: 4,176,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,132 : 1,969,910 = 1,969,910 : x
  2. Step 2: Convert to fraction form
    929,132/1,969,910 = 1,969,910/x
  3. Step 3: Cross multiply
    929,132x = 1,969,910 × 1,969,910
  4. Step 4: Simplify right side
    929,132x = 3,880,545,408,100
  5. Step 5: Solve for x
    x = 3,880,545,408,100/929,132
  6. Step 6: Final answer
    x = 4,176,527.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.