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Finding the Third Proportional to 686,054 and 1,603,355

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Solution

The third proportional to 686,054 and 1,603,355 is: 3,747,150.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,054 : 1,603,355 = 1,603,355 : x
  2. Step 2: Convert to fraction form
    686,054/1,603,355 = 1,603,355/x
  3. Step 3: Cross multiply
    686,054x = 1,603,355 × 1,603,355
  4. Step 4: Simplify right side
    686,054x = 2,570,747,256,025
  5. Step 5: Solve for x
    x = 2,570,747,256,025/686,054
  6. Step 6: Final answer
    x = 3,747,150.01

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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.