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Finding the Third Proportional to 415,371 and 893,922

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Solution

The third proportional to 415,371 and 893,922 is: 1,923,813.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,371 : 893,922 = 893,922 : x
  2. Step 2: Convert to fraction form
    415,371/893,922 = 893,922/x
  3. Step 3: Cross multiply
    415,371x = 893,922 × 893,922
  4. Step 4: Simplify right side
    415,371x = 799,096,542,084
  5. Step 5: Solve for x
    x = 799,096,542,084/415,371
  6. Step 6: Final answer
    x = 1,923,813.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.