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Finding the Third Proportional to 686,052 and 1,603,350

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Solution

The third proportional to 686,052 and 1,603,350 is: 3,747,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,052 : 1,603,350 = 1,603,350 : x
  2. Step 2: Convert to fraction form
    686,052/1,603,350 = 1,603,350/x
  3. Step 3: Cross multiply
    686,052x = 1,603,350 × 1,603,350
  4. Step 4: Simplify right side
    686,052x = 2,570,731,222,500
  5. Step 5: Solve for x
    x = 2,570,731,222,500/686,052
  6. Step 6: Final answer
    x = 3,747,137.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.