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Finding the Third Proportional to 2,137,851 and 4,612,014

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Solution

The third proportional to 2,137,851 and 4,612,014 is: 9,949,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137,851 : 4,612,014 = 4,612,014 : x
  2. Step 2: Convert to fraction form
    2,137,851/4,612,014 = 4,612,014/x
  3. Step 3: Cross multiply
    2,137,851x = 4,612,014 × 4,612,014
  4. Step 4: Simplify right side
    2,137,851x = 21,270,673,136,196
  5. Step 5: Solve for x
    x = 21,270,673,136,196/2,137,851
  6. Step 6: Final answer
    x = 9,949,558.29

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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.