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Finding the Third Proportional to 911,241 and 1,448,241

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Solution

The third proportional to 911,241 and 1,448,241 is: 2,301,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,241 : 1,448,241 = 1,448,241 : x
  2. Step 2: Convert to fraction form
    911,241/1,448,241 = 1,448,241/x
  3. Step 3: Cross multiply
    911,241x = 1,448,241 × 1,448,241
  4. Step 4: Simplify right side
    911,241x = 2,097,401,994,081
  5. Step 5: Solve for x
    x = 2,097,401,994,081/911,241
  6. Step 6: Final answer
    x = 2,301,698.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.