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Finding the Third Proportional to 603,088 and 1,268,168

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Solution

The third proportional to 603,088 and 1,268,168 is: 2,666,692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,088 : 1,268,168 = 1,268,168 : x
  2. Step 2: Convert to fraction form
    603,088/1,268,168 = 1,268,168/x
  3. Step 3: Cross multiply
    603,088x = 1,268,168 × 1,268,168
  4. Step 4: Simplify right side
    603,088x = 1,608,250,076,224
  5. Step 5: Solve for x
    x = 1,608,250,076,224/603,088
  6. Step 6: Final answer
    x = 2,666,692.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.