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Finding the Third Proportional to 759,937.50 and 1,185,914.25

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Solution

The third proportional to 759,937.50 and 1,185,914.25 is: 1,850,668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,937.50 : 1,185,914.25 = 1,185,914.25 : x
  2. Step 2: Convert to fraction form
    759,937.50/1,185,914.25 = 1,185,914.25/x
  3. Step 3: Cross multiply
    759,937.50x = 1,185,914.25 × 1,185,914.25
  4. Step 4: Simplify right side
    759,937.50x = 1,406,392,608,353.06
  5. Step 5: Solve for x
    x = 1,406,392,608,353.06/759,937.50
  6. Step 6: Final answer
    x = 1,850,668.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.