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Finding the Third Proportional to 616,608 and 1,344,976

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Solution

The third proportional to 616,608 and 1,344,976 is: 2,933,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,608 : 1,344,976 = 1,344,976 : x
  2. Step 2: Convert to fraction form
    616,608/1,344,976 = 1,344,976/x
  3. Step 3: Cross multiply
    616,608x = 1,344,976 × 1,344,976
  4. Step 4: Simplify right side
    616,608x = 1,808,960,440,576
  5. Step 5: Solve for x
    x = 1,808,960,440,576/616,608
  6. Step 6: Final answer
    x = 2,933,728.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.