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Finding the Third Proportional to 456,450 and 926,724

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Solution

The third proportional to 456,450 and 926,724 is: 1,881,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,450 : 926,724 = 926,724 : x
  2. Step 2: Convert to fraction form
    456,450/926,724 = 926,724/x
  3. Step 3: Cross multiply
    456,450x = 926,724 × 926,724
  4. Step 4: Simplify right side
    456,450x = 858,817,372,176
  5. Step 5: Solve for x
    x = 858,817,372,176/456,450
  6. Step 6: Final answer
    x = 1,881,514.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.