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Finding the Third Proportional to 411,782 and 889,174

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Solution

The third proportional to 411,782 and 889,174 is: 1,920,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,782 : 889,174 = 889,174 : x
  2. Step 2: Convert to fraction form
    411,782/889,174 = 889,174/x
  3. Step 3: Cross multiply
    411,782x = 889,174 × 889,174
  4. Step 4: Simplify right side
    411,782x = 790,630,402,276
  5. Step 5: Solve for x
    x = 790,630,402,276/411,782
  6. Step 6: Final answer
    x = 1,920,021.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.