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Finding the Third Proportional to 1,532,144 and 2,319,546

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Solution

The third proportional to 1,532,144 and 2,319,546 is: 3,511,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532,144 : 2,319,546 = 2,319,546 : x
  2. Step 2: Convert to fraction form
    1,532,144/2,319,546 = 2,319,546/x
  3. Step 3: Cross multiply
    1,532,144x = 2,319,546 × 2,319,546
  4. Step 4: Simplify right side
    1,532,144x = 5,380,293,646,116
  5. Step 5: Solve for x
    x = 5,380,293,646,116/1,532,144
  6. Step 6: Final answer
    x = 3,511,610.95

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Why These Related Problems?

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