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Finding the Third Proportional to 527,923 and 1,155,620

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Solution

The third proportional to 527,923 and 1,155,620 is: 2,529,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,923 : 1,155,620 = 1,155,620 : x
  2. Step 2: Convert to fraction form
    527,923/1,155,620 = 1,155,620/x
  3. Step 3: Cross multiply
    527,923x = 1,155,620 × 1,155,620
  4. Step 4: Simplify right side
    527,923x = 1,335,457,584,400
  5. Step 5: Solve for x
    x = 1,335,457,584,400/527,923
  6. Step 6: Final answer
    x = 2,529,644.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.