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Finding the Third Proportional to 439,878 and 980,844

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Solution

The third proportional to 439,878 and 980,844 is: 2,187,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,878 : 980,844 = 980,844 : x
  2. Step 2: Convert to fraction form
    439,878/980,844 = 980,844/x
  3. Step 3: Cross multiply
    439,878x = 980,844 × 980,844
  4. Step 4: Simplify right side
    439,878x = 962,054,952,336
  5. Step 5: Solve for x
    x = 962,054,952,336/439,878
  6. Step 6: Final answer
    x = 2,187,094.95

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.