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Finding the Third Proportional to 471,572 and 964,932

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Solution

The third proportional to 471,572 and 964,932 is: 1,974,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,572 : 964,932 = 964,932 : x
  2. Step 2: Convert to fraction form
    471,572/964,932 = 964,932/x
  3. Step 3: Cross multiply
    471,572x = 964,932 × 964,932
  4. Step 4: Simplify right side
    471,572x = 931,093,764,624
  5. Step 5: Solve for x
    x = 931,093,764,624/471,572
  6. Step 6: Final answer
    x = 1,974,446.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.