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Finding the Third Proportional to 1,144,350 and 1,731,257

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Solution

The third proportional to 1,144,350 and 1,731,257 is: 2,619,173.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,350 : 1,731,257 = 1,731,257 : x
  2. Step 2: Convert to fraction form
    1,144,350/1,731,257 = 1,731,257/x
  3. Step 3: Cross multiply
    1,144,350x = 1,731,257 × 1,731,257
  4. Step 4: Simplify right side
    1,144,350x = 2,997,250,800,049
  5. Step 5: Solve for x
    x = 2,997,250,800,049/1,144,350
  6. Step 6: Final answer
    x = 2,619,173.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.