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Finding the Third Proportional to 1,649,888 and 3,618,592

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Solution

The third proportional to 1,649,888 and 3,618,592 is: 7,936,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,888 : 3,618,592 = 3,618,592 : x
  2. Step 2: Convert to fraction form
    1,649,888/3,618,592 = 3,618,592/x
  3. Step 3: Cross multiply
    1,649,888x = 3,618,592 × 3,618,592
  4. Step 4: Simplify right side
    1,649,888x = 13,094,208,062,464
  5. Step 5: Solve for x
    x = 13,094,208,062,464/1,649,888
  6. Step 6: Final answer
    x = 7,936,422.39

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.