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Finding the Third Proportional to 533,670 and 1,155,900

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Solution

The third proportional to 533,670 and 1,155,900 is: 2,503,616.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,670 : 1,155,900 = 1,155,900 : x
  2. Step 2: Convert to fraction form
    533,670/1,155,900 = 1,155,900/x
  3. Step 3: Cross multiply
    533,670x = 1,155,900 × 1,155,900
  4. Step 4: Simplify right side
    533,670x = 1,336,104,810,000
  5. Step 5: Solve for x
    x = 1,336,104,810,000/533,670
  6. Step 6: Final answer
    x = 2,503,616.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.