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Finding the Third Proportional to 604,584 and 1,328,400

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Solution

The third proportional to 604,584 and 1,328,400 is: 2,918,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,584 : 1,328,400 = 1,328,400 : x
  2. Step 2: Convert to fraction form
    604,584/1,328,400 = 1,328,400/x
  3. Step 3: Cross multiply
    604,584x = 1,328,400 × 1,328,400
  4. Step 4: Simplify right side
    604,584x = 1,764,646,560,000
  5. Step 5: Solve for x
    x = 1,764,646,560,000/604,584
  6. Step 6: Final answer
    x = 2,918,778.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.