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Finding the Third Proportional to 616,148 and 1,323,976

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Solution

The third proportional to 616,148 and 1,323,976 is: 2,844,953.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,148 : 1,323,976 = 1,323,976 : x
  2. Step 2: Convert to fraction form
    616,148/1,323,976 = 1,323,976/x
  3. Step 3: Cross multiply
    616,148x = 1,323,976 × 1,323,976
  4. Step 4: Simplify right side
    616,148x = 1,752,912,448,576
  5. Step 5: Solve for x
    x = 1,752,912,448,576/616,148
  6. Step 6: Final answer
    x = 2,844,953.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.