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Finding the Third Proportional to 519,684 and 1,111,186.50

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Solution

The third proportional to 519,684 and 1,111,186.50 is: 2,375,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,684 : 1,111,186.50 = 1,111,186.50 : x
  2. Step 2: Convert to fraction form
    519,684/1,111,186.50 = 1,111,186.50/x
  3. Step 3: Cross multiply
    519,684x = 1,111,186.50 × 1,111,186.50
  4. Step 4: Simplify right side
    519,684x = 1,234,735,437,782.25
  5. Step 5: Solve for x
    x = 1,234,735,437,782.25/519,684
  6. Step 6: Final answer
    x = 2,375,935.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.