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Finding the Third Proportional to 780,048 and 1,164,969

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Solution

The third proportional to 780,048 and 1,164,969 is: 1,739,832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,048 : 1,164,969 = 1,164,969 : x
  2. Step 2: Convert to fraction form
    780,048/1,164,969 = 1,164,969/x
  3. Step 3: Cross multiply
    780,048x = 1,164,969 × 1,164,969
  4. Step 4: Simplify right side
    780,048x = 1,357,152,770,961
  5. Step 5: Solve for x
    x = 1,357,152,770,961/780,048
  6. Step 6: Final answer
    x = 1,739,832.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.