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Finding the Third Proportional to 1,741,255.50 and 3,658,767

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Solution

The third proportional to 1,741,255.50 and 3,658,767 is: 7,687,887.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,255.50 : 3,658,767 = 3,658,767 : x
  2. Step 2: Convert to fraction form
    1,741,255.50/3,658,767 = 3,658,767/x
  3. Step 3: Cross multiply
    1,741,255.50x = 3,658,767 × 3,658,767
  4. Step 4: Simplify right side
    1,741,255.50x = 13,386,575,960,289
  5. Step 5: Solve for x
    x = 13,386,575,960,289/1,741,255.50
  6. Step 6: Final answer
    x = 7,687,887.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.