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Finding the Third Proportional to 546,120 and 854,820

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Solution

The third proportional to 546,120 and 854,820 is: 1,338,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,120 : 854,820 = 854,820 : x
  2. Step 2: Convert to fraction form
    546,120/854,820 = 854,820/x
  3. Step 3: Cross multiply
    546,120x = 854,820 × 854,820
  4. Step 4: Simplify right side
    546,120x = 730,717,232,400
  5. Step 5: Solve for x
    x = 730,717,232,400/546,120
  6. Step 6: Final answer
    x = 1,338,015.88

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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.