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Finding the Third Proportional to 1,281,997 and 2,735,614

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Solution

The third proportional to 1,281,997 and 2,735,614 is: 5,837,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,997 : 2,735,614 = 2,735,614 : x
  2. Step 2: Convert to fraction form
    1,281,997/2,735,614 = 2,735,614/x
  3. Step 3: Cross multiply
    1,281,997x = 2,735,614 × 2,735,614
  4. Step 4: Simplify right side
    1,281,997x = 7,483,583,956,996
  5. Step 5: Solve for x
    x = 7,483,583,956,996/1,281,997
  6. Step 6: Final answer
    x = 5,837,442.64

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.