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Finding the Third Proportional to 1,638,878 and 2,570,914

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Solution

The third proportional to 1,638,878 and 2,570,914 is: 4,033,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,878 : 2,570,914 = 2,570,914 : x
  2. Step 2: Convert to fraction form
    1,638,878/2,570,914 = 2,570,914/x
  3. Step 3: Cross multiply
    1,638,878x = 2,570,914 × 2,570,914
  4. Step 4: Simplify right side
    1,638,878x = 6,609,598,795,396
  5. Step 5: Solve for x
    x = 6,609,598,795,396/1,638,878
  6. Step 6: Final answer
    x = 4,033,002.33

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