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Finding the Third Proportional to 852,150.75 and 1,356,597.28

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Solution

The third proportional to 852,150.75 and 1,356,597.28 is: 2,159,660.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,150.75 : 1,356,597.28 = 1,356,597.28 : x
  2. Step 2: Convert to fraction form
    852,150.75/1,356,597.28 = 1,356,597.28/x
  3. Step 3: Cross multiply
    852,150.75x = 1,356,597.28 × 1,356,597.28
  4. Step 4: Simplify right side
    852,150.75x = 1,840,356,183,494.89
  5. Step 5: Solve for x
    x = 1,840,356,183,494.89/852,150.75
  6. Step 6: Final answer
    x = 2,159,660.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.