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Finding the Third Proportional to 445,148.47 and 1,049,772.81

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Solution

The third proportional to 445,148.47 and 1,049,772.81 is: 2,475,630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,148.47 : 1,049,772.81 = 1,049,772.81 : x
  2. Step 2: Convert to fraction form
    445,148.47/1,049,772.81 = 1,049,772.81/x
  3. Step 3: Cross multiply
    445,148.47x = 1,049,772.81 × 1,049,772.81
  4. Step 4: Simplify right side
    445,148.47x = 1,102,022,961,964.78
  5. Step 5: Solve for x
    x = 1,102,022,961,964.78/445,148.47
  6. Step 6: Final answer
    x = 2,475,630.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.