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Finding the Third Proportional to 415,503 and 893,075

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Solution

The third proportional to 415,503 and 893,075 is: 1,919,560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,503 : 893,075 = 893,075 : x
  2. Step 2: Convert to fraction form
    415,503/893,075 = 893,075/x
  3. Step 3: Cross multiply
    415,503x = 893,075 × 893,075
  4. Step 4: Simplify right side
    415,503x = 797,582,955,625
  5. Step 5: Solve for x
    x = 797,582,955,625/415,503
  6. Step 6: Final answer
    x = 1,919,560.04

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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.