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Finding the Third Proportional to 780,568 and 1,177,000

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Solution

The third proportional to 780,568 and 1,177,000 is: 1,774,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,568 : 1,177,000 = 1,177,000 : x
  2. Step 2: Convert to fraction form
    780,568/1,177,000 = 1,177,000/x
  3. Step 3: Cross multiply
    780,568x = 1,177,000 × 1,177,000
  4. Step 4: Simplify right side
    780,568x = 1,385,329,000,000
  5. Step 5: Solve for x
    x = 1,385,329,000,000/780,568
  6. Step 6: Final answer
    x = 1,774,770.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.