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Finding the Third Proportional to 417,075 and 893,190

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Solution

The third proportional to 417,075 and 893,190 is: 1,912,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,075 : 893,190 = 893,190 : x
  2. Step 2: Convert to fraction form
    417,075/893,190 = 893,190/x
  3. Step 3: Cross multiply
    417,075x = 893,190 × 893,190
  4. Step 4: Simplify right side
    417,075x = 797,788,376,100
  5. Step 5: Solve for x
    x = 797,788,376,100/417,075
  6. Step 6: Final answer
    x = 1,912,817.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.