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Finding the Third Proportional to 619,360 and 905,152

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Solution

The third proportional to 619,360 and 905,152 is: 1,322,817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,360 : 905,152 = 905,152 : x
  2. Step 2: Convert to fraction form
    619,360/905,152 = 905,152/x
  3. Step 3: Cross multiply
    619,360x = 905,152 × 905,152
  4. Step 4: Simplify right side
    619,360x = 819,300,143,104
  5. Step 5: Solve for x
    x = 819,300,143,104/619,360
  6. Step 6: Final answer
    x = 1,322,817.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.