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Finding the Third Proportional to 777,016 and 1,200,024

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Solution

The third proportional to 777,016 and 1,200,024 is: 1,853,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,016 : 1,200,024 = 1,200,024 : x
  2. Step 2: Convert to fraction form
    777,016/1,200,024 = 1,200,024/x
  3. Step 3: Cross multiply
    777,016x = 1,200,024 × 1,200,024
  4. Step 4: Simplify right side
    777,016x = 1,440,057,600,576
  5. Step 5: Solve for x
    x = 1,440,057,600,576/777,016
  6. Step 6: Final answer
    x = 1,853,317.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.