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Finding the Third Proportional to 1,683,975 and 2,638,623

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Solution

The third proportional to 1,683,975 and 2,638,623 is: 4,134,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683,975 : 2,638,623 = 2,638,623 : x
  2. Step 2: Convert to fraction form
    1,683,975/2,638,623 = 2,638,623/x
  3. Step 3: Cross multiply
    1,683,975x = 2,638,623 × 2,638,623
  4. Step 4: Simplify right side
    1,683,975x = 6,962,331,336,129
  5. Step 5: Solve for x
    x = 6,962,331,336,129/1,683,975
  6. Step 6: Final answer
    x = 4,134,462.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.