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Finding the Third Proportional to 467,104 and 1,021,455

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Solution

The third proportional to 467,104 and 1,021,455 is: 2,233,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,104 : 1,021,455 = 1,021,455 : x
  2. Step 2: Convert to fraction form
    467,104/1,021,455 = 1,021,455/x
  3. Step 3: Cross multiply
    467,104x = 1,021,455 × 1,021,455
  4. Step 4: Simplify right side
    467,104x = 1,043,370,317,025
  5. Step 5: Solve for x
    x = 1,043,370,317,025/467,104
  6. Step 6: Final answer
    x = 2,233,700.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.