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Finding the Third Proportional to 458,962.45 and 981,074.53

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Solution

The third proportional to 458,962.45 and 981,074.53 is: 2,097,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,962.45 : 981,074.53 = 981,074.53 : x
  2. Step 2: Convert to fraction form
    458,962.45/981,074.53 = 981,074.53/x
  3. Step 3: Cross multiply
    458,962.45x = 981,074.53 × 981,074.53
  4. Step 4: Simplify right side
    458,962.45x = 962,507,235,867.41
  5. Step 5: Solve for x
    x = 962,507,235,867.41/458,962.45
  6. Step 6: Final answer
    x = 2,097,137.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.