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Finding the Third Proportional to 476,538 and 929,130

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Solution

The third proportional to 476,538 and 929,130 is: 1,811,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,538 : 929,130 = 929,130 : x
  2. Step 2: Convert to fraction form
    476,538/929,130 = 929,130/x
  3. Step 3: Cross multiply
    476,538x = 929,130 × 929,130
  4. Step 4: Simplify right side
    476,538x = 863,282,556,900
  5. Step 5: Solve for x
    x = 863,282,556,900/476,538
  6. Step 6: Final answer
    x = 1,811,571.28

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.