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Finding the Third Proportional to 519,685 and 1,111,188.50

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Solution

The third proportional to 519,685 and 1,111,188.50 is: 2,375,939.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,685 : 1,111,188.50 = 1,111,188.50 : x
  2. Step 2: Convert to fraction form
    519,685/1,111,188.50 = 1,111,188.50/x
  3. Step 3: Cross multiply
    519,685x = 1,111,188.50 × 1,111,188.50
  4. Step 4: Simplify right side
    519,685x = 1,234,739,882,532.25
  5. Step 5: Solve for x
    x = 1,234,739,882,532.25/519,685
  6. Step 6: Final answer
    x = 2,375,939.04

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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.