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Finding the Third Proportional to 751,789 and 1,163,575.50

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Solution

The third proportional to 751,789 and 1,163,575.50 is: 1,800,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,789 : 1,163,575.50 = 1,163,575.50 : x
  2. Step 2: Convert to fraction form
    751,789/1,163,575.50 = 1,163,575.50/x
  3. Step 3: Cross multiply
    751,789x = 1,163,575.50 × 1,163,575.50
  4. Step 4: Simplify right side
    751,789x = 1,353,907,944,200.25
  5. Step 5: Solve for x
    x = 1,353,907,944,200.25/751,789
  6. Step 6: Final answer
    x = 1,800,914.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.