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Finding the Third Proportional to 516,114 and 1,068,518.50

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Solution

The third proportional to 516,114 and 1,068,518.50 is: 2,212,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,114 : 1,068,518.50 = 1,068,518.50 : x
  2. Step 2: Convert to fraction form
    516,114/1,068,518.50 = 1,068,518.50/x
  3. Step 3: Cross multiply
    516,114x = 1,068,518.50 × 1,068,518.50
  4. Step 4: Simplify right side
    516,114x = 1,141,731,784,842.25
  5. Step 5: Solve for x
    x = 1,141,731,784,842.25/516,114
  6. Step 6: Final answer
    x = 2,212,169.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.