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Finding the Third Proportional to 604,534 and 1,323,980

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Solution

The third proportional to 604,534 and 1,323,980 is: 2,899,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,534 : 1,323,980 = 1,323,980 : x
  2. Step 2: Convert to fraction form
    604,534/1,323,980 = 1,323,980/x
  3. Step 3: Cross multiply
    604,534x = 1,323,980 × 1,323,980
  4. Step 4: Simplify right side
    604,534x = 1,752,923,040,400
  5. Step 5: Solve for x
    x = 1,752,923,040,400/604,534
  6. Step 6: Final answer
    x = 2,899,626.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.