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Finding the Third Proportional to 463,215 and 1,003,749.75

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Solution

The third proportional to 463,215 and 1,003,749.75 is: 2,175,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,215 : 1,003,749.75 = 1,003,749.75 : x
  2. Step 2: Convert to fraction form
    463,215/1,003,749.75 = 1,003,749.75/x
  3. Step 3: Cross multiply
    463,215x = 1,003,749.75 × 1,003,749.75
  4. Step 4: Simplify right side
    463,215x = 1,007,513,560,625.06
  5. Step 5: Solve for x
    x = 1,007,513,560,625.06/463,215
  6. Step 6: Final answer
    x = 2,175,045.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.