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Finding the Third Proportional to 661,572 and 1,449,233

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Solution

The third proportional to 661,572 and 1,449,233 is: 3,174,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,572 : 1,449,233 = 1,449,233 : x
  2. Step 2: Convert to fraction form
    661,572/1,449,233 = 1,449,233/x
  3. Step 3: Cross multiply
    661,572x = 1,449,233 × 1,449,233
  4. Step 4: Simplify right side
    661,572x = 2,100,276,288,289
  5. Step 5: Solve for x
    x = 2,100,276,288,289/661,572
  6. Step 6: Final answer
    x = 3,174,675.30

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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.