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Finding the Third Proportional to 862,245 and 1,305,292.50

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Solution

The third proportional to 862,245 and 1,305,292.50 is: 1,975,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,245 : 1,305,292.50 = 1,305,292.50 : x
  2. Step 2: Convert to fraction form
    862,245/1,305,292.50 = 1,305,292.50/x
  3. Step 3: Cross multiply
    862,245x = 1,305,292.50 × 1,305,292.50
  4. Step 4: Simplify right side
    862,245x = 1,703,788,510,556.25
  5. Step 5: Solve for x
    x = 1,703,788,510,556.25/862,245
  6. Step 6: Final answer
    x = 1,975,991.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.