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Finding the Third Proportional to 1,186,980 and 2,515,224

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Solution

The third proportional to 1,186,980 and 2,515,224 is: 5,329,788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,980 : 2,515,224 = 2,515,224 : x
  2. Step 2: Convert to fraction form
    1,186,980/2,515,224 = 2,515,224/x
  3. Step 3: Cross multiply
    1,186,980x = 2,515,224 × 2,515,224
  4. Step 4: Simplify right side
    1,186,980x = 6,326,351,770,176
  5. Step 5: Solve for x
    x = 6,326,351,770,176/1,186,980
  6. Step 6: Final answer
    x = 5,329,788.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.