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Finding the Third Proportional to 427,626.84 and 929,173.78

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Solution

The third proportional to 427,626.84 and 929,173.78 is: 2,018,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,626.84 : 929,173.78 = 929,173.78 : x
  2. Step 2: Convert to fraction form
    427,626.84/929,173.78 = 929,173.78/x
  3. Step 3: Cross multiply
    427,626.84x = 929,173.78 × 929,173.78
  4. Step 4: Simplify right side
    427,626.84x = 863,363,915,762.42
  5. Step 5: Solve for x
    x = 863,363,915,762.42/427,626.84
  6. Step 6: Final answer
    x = 2,018,965.67

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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.