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Finding the Third Proportional to 893,256 and 1,946,856

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Solution

The third proportional to 893,256 and 1,946,856 is: 4,243,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,256 : 1,946,856 = 1,946,856 : x
  2. Step 2: Convert to fraction form
    893,256/1,946,856 = 1,946,856/x
  3. Step 3: Cross multiply
    893,256x = 1,946,856 × 1,946,856
  4. Step 4: Simplify right side
    893,256x = 3,790,248,284,736
  5. Step 5: Solve for x
    x = 3,790,248,284,736/893,256
  6. Step 6: Final answer
    x = 4,243,182.56

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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.