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Finding the Third Proportional to 1,105,738.50 and 2,411,565

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Solution

The third proportional to 1,105,738.50 and 2,411,565 is: 5,259,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,738.50 : 2,411,565 = 2,411,565 : x
  2. Step 2: Convert to fraction form
    1,105,738.50/2,411,565 = 2,411,565/x
  3. Step 3: Cross multiply
    1,105,738.50x = 2,411,565 × 2,411,565
  4. Step 4: Simplify right side
    1,105,738.50x = 5,815,645,749,225
  5. Step 5: Solve for x
    x = 5,815,645,749,225/1,105,738.50
  6. Step 6: Final answer
    x = 5,259,512.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.