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Finding the Third Proportional to 546,075 and 854,760

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Solution

The third proportional to 546,075 and 854,760 is: 1,337,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,075 : 854,760 = 854,760 : x
  2. Step 2: Convert to fraction form
    546,075/854,760 = 854,760/x
  3. Step 3: Cross multiply
    546,075x = 854,760 × 854,760
  4. Step 4: Simplify right side
    546,075x = 730,614,657,600
  5. Step 5: Solve for x
    x = 730,614,657,600/546,075
  6. Step 6: Final answer
    x = 1,337,938.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.