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Finding the Third Proportional to 891,216 and 1,463,016

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Solution

The third proportional to 891,216 and 1,463,016 is: 2,401,680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,216 : 1,463,016 = 1,463,016 : x
  2. Step 2: Convert to fraction form
    891,216/1,463,016 = 1,463,016/x
  3. Step 3: Cross multiply
    891,216x = 1,463,016 × 1,463,016
  4. Step 4: Simplify right side
    891,216x = 2,140,415,816,256
  5. Step 5: Solve for x
    x = 2,140,415,816,256/891,216
  6. Step 6: Final answer
    x = 2,401,680.19

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.