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Finding the Third Proportional to 408,945 and 893,706

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Solution

The third proportional to 408,945 and 893,706 is: 1,953,099.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,945 : 893,706 = 893,706 : x
  2. Step 2: Convert to fraction form
    408,945/893,706 = 893,706/x
  3. Step 3: Cross multiply
    408,945x = 893,706 × 893,706
  4. Step 4: Simplify right side
    408,945x = 798,710,414,436
  5. Step 5: Solve for x
    x = 798,710,414,436/408,945
  6. Step 6: Final answer
    x = 1,953,099.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.