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Finding the Third Proportional to 455,891.63 and 992,052.56

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Solution

The third proportional to 455,891.63 and 992,052.56 is: 2,158,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,891.63 : 992,052.56 = 992,052.56 : x
  2. Step 2: Convert to fraction form
    455,891.63/992,052.56 = 992,052.56/x
  3. Step 3: Cross multiply
    455,891.63x = 992,052.56 × 992,052.56
  4. Step 4: Simplify right side
    455,891.63x = 984,168,286,762.82
  5. Step 5: Solve for x
    x = 984,168,286,762.82/455,891.63
  6. Step 6: Final answer
    x = 2,158,776.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.