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Finding the Third Proportional to 899,162 and 1,963,078

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Solution

The third proportional to 899,162 and 1,963,078 is: 4,285,851.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,162 : 1,963,078 = 1,963,078 : x
  2. Step 2: Convert to fraction form
    899,162/1,963,078 = 1,963,078/x
  3. Step 3: Cross multiply
    899,162x = 1,963,078 × 1,963,078
  4. Step 4: Simplify right side
    899,162x = 3,853,675,234,084
  5. Step 5: Solve for x
    x = 3,853,675,234,084/899,162
  6. Step 6: Final answer
    x = 4,285,851.98

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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.