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Finding the Third Proportional to 415,682 and 893,140

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Solution

The third proportional to 415,682 and 893,140 is: 1,919,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,682 : 893,140 = 893,140 : x
  2. Step 2: Convert to fraction form
    415,682/893,140 = 893,140/x
  3. Step 3: Cross multiply
    415,682x = 893,140 × 893,140
  4. Step 4: Simplify right side
    415,682x = 797,699,059,600
  5. Step 5: Solve for x
    x = 797,699,059,600/415,682
  6. Step 6: Final answer
    x = 1,919,012.75

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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.