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Finding the Third Proportional to 603,078 and 1,268,148

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Solution

The third proportional to 603,078 and 1,268,148 is: 2,666,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,078 : 1,268,148 = 1,268,148 : x
  2. Step 2: Convert to fraction form
    603,078/1,268,148 = 1,268,148/x
  3. Step 3: Cross multiply
    603,078x = 1,268,148 × 1,268,148
  4. Step 4: Simplify right side
    603,078x = 1,608,199,349,904
  5. Step 5: Solve for x
    x = 1,608,199,349,904/603,078
  6. Step 6: Final answer
    x = 2,666,652.32

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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.