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Finding the Third Proportional to 1,637,838 and 3,543,947

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Solution

The third proportional to 1,637,838 and 3,543,947 is: 7,668,377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637,838 : 3,543,947 = 3,543,947 : x
  2. Step 2: Convert to fraction form
    1,637,838/3,543,947 = 3,543,947/x
  3. Step 3: Cross multiply
    1,637,838x = 3,543,947 × 3,543,947
  4. Step 4: Simplify right side
    1,637,838x = 12,559,560,338,809
  5. Step 5: Solve for x
    x = 12,559,560,338,809/1,637,838
  6. Step 6: Final answer
    x = 7,668,377.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.