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Finding the Third Proportional to 677,838 and 994,101

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Solution

The third proportional to 677,838 and 994,101 is: 1,457,924.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,838 : 994,101 = 994,101 : x
  2. Step 2: Convert to fraction form
    677,838/994,101 = 994,101/x
  3. Step 3: Cross multiply
    677,838x = 994,101 × 994,101
  4. Step 4: Simplify right side
    677,838x = 988,236,798,201
  5. Step 5: Solve for x
    x = 988,236,798,201/677,838
  6. Step 6: Final answer
    x = 1,457,924.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.