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Finding the Third Proportional to 681,296 and 1,433,140

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Solution

The third proportional to 681,296 and 1,433,140 is: 3,014,681.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,296 : 1,433,140 = 1,433,140 : x
  2. Step 2: Convert to fraction form
    681,296/1,433,140 = 1,433,140/x
  3. Step 3: Cross multiply
    681,296x = 1,433,140 × 1,433,140
  4. Step 4: Simplify right side
    681,296x = 2,053,890,259,600
  5. Step 5: Solve for x
    x = 2,053,890,259,600/681,296
  6. Step 6: Final answer
    x = 3,014,681.22

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.