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Finding the Third Proportional to 780,420 and 1,167,302

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Solution

The third proportional to 780,420 and 1,167,302 is: 1,745,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,420 : 1,167,302 = 1,167,302 : x
  2. Step 2: Convert to fraction form
    780,420/1,167,302 = 1,167,302/x
  3. Step 3: Cross multiply
    780,420x = 1,167,302 × 1,167,302
  4. Step 4: Simplify right side
    780,420x = 1,362,593,959,204
  5. Step 5: Solve for x
    x = 1,362,593,959,204/780,420
  6. Step 6: Final answer
    x = 1,745,975.19

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