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Finding the Third Proportional to 604,701 and 874,116

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Solution

The third proportional to 604,701 and 874,116 is: 1,263,564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,701 : 874,116 = 874,116 : x
  2. Step 2: Convert to fraction form
    604,701/874,116 = 874,116/x
  3. Step 3: Cross multiply
    604,701x = 874,116 × 874,116
  4. Step 4: Simplify right side
    604,701x = 764,078,781,456
  5. Step 5: Solve for x
    x = 764,078,781,456/604,701
  6. Step 6: Final answer
    x = 1,263,564.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.