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Finding the Third Proportional to 780,192 and 1,167,129

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Solution

The third proportional to 780,192 and 1,167,129 is: 1,745,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,192 : 1,167,129 = 1,167,129 : x
  2. Step 2: Convert to fraction form
    780,192/1,167,129 = 1,167,129/x
  3. Step 3: Cross multiply
    780,192x = 1,167,129 × 1,167,129
  4. Step 4: Simplify right side
    780,192x = 1,362,190,102,641
  5. Step 5: Solve for x
    x = 1,362,190,102,641/780,192
  6. Step 6: Final answer
    x = 1,745,967.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.