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Finding the Third Proportional to 1,163,299.50 and 1,746,180.56

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Solution

The third proportional to 1,163,299.50 and 1,746,180.56 is: 2,621,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163,299.50 : 1,746,180.56 = 1,746,180.56 : x
  2. Step 2: Convert to fraction form
    1,163,299.50/1,746,180.56 = 1,746,180.56/x
  3. Step 3: Cross multiply
    1,163,299.50x = 1,746,180.56 × 1,746,180.56
  4. Step 4: Simplify right side
    1,163,299.50x = 3,049,146,556,852.82
  5. Step 5: Solve for x
    x = 3,049,146,556,852.82/1,163,299.50
  6. Step 6: Final answer
    x = 2,621,119.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.