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Finding the Third Proportional to 1,631,138 and 3,837,736

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Solution

The third proportional to 1,631,138 and 3,837,736 is: 9,029,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631,138 : 3,837,736 = 3,837,736 : x
  2. Step 2: Convert to fraction form
    1,631,138/3,837,736 = 3,837,736/x
  3. Step 3: Cross multiply
    1,631,138x = 3,837,736 × 3,837,736
  4. Step 4: Simplify right side
    1,631,138x = 14,728,217,605,696
  5. Step 5: Solve for x
    x = 14,728,217,605,696/1,631,138
  6. Step 6: Final answer
    x = 9,029,412.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.