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Finding the Third Proportional to 604,576 and 1,319,680

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Solution

The third proportional to 604,576 and 1,319,680 is: 2,880,622.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,576 : 1,319,680 = 1,319,680 : x
  2. Step 2: Convert to fraction form
    604,576/1,319,680 = 1,319,680/x
  3. Step 3: Cross multiply
    604,576x = 1,319,680 × 1,319,680
  4. Step 4: Simplify right side
    604,576x = 1,741,555,302,400
  5. Step 5: Solve for x
    x = 1,741,555,302,400/604,576
  6. Step 6: Final answer
    x = 2,880,622.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.