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Finding the Third Proportional to 395,889 and 933,597

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Solution

The third proportional to 395,889 and 933,597 is: 2,201,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,889 : 933,597 = 933,597 : x
  2. Step 2: Convert to fraction form
    395,889/933,597 = 933,597/x
  3. Step 3: Cross multiply
    395,889x = 933,597 × 933,597
  4. Step 4: Simplify right side
    395,889x = 871,603,358,409
  5. Step 5: Solve for x
    x = 871,603,358,409/395,889
  6. Step 6: Final answer
    x = 2,201,635.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.