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Finding the Third Proportional to 1,284,480 and 2,823,201

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Solution

The third proportional to 1,284,480 and 2,823,201 is: 6,205,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,480 : 2,823,201 = 2,823,201 : x
  2. Step 2: Convert to fraction form
    1,284,480/2,823,201 = 2,823,201/x
  3. Step 3: Cross multiply
    1,284,480x = 2,823,201 × 2,823,201
  4. Step 4: Simplify right side
    1,284,480x = 7,970,463,886,401
  5. Step 5: Solve for x
    x = 7,970,463,886,401/1,284,480
  6. Step 6: Final answer
    x = 6,205,206.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.