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Finding the Third Proportional to 446,463 and 1,053,720

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Solution

The third proportional to 446,463 and 1,053,720 is: 2,486,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,463 : 1,053,720 = 1,053,720 : x
  2. Step 2: Convert to fraction form
    446,463/1,053,720 = 1,053,720/x
  3. Step 3: Cross multiply
    446,463x = 1,053,720 × 1,053,720
  4. Step 4: Simplify right side
    446,463x = 1,110,325,838,400
  5. Step 5: Solve for x
    x = 1,110,325,838,400/446,463
  6. Step 6: Final answer
    x = 2,486,938.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.