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Finding the Third Proportional to 546,084 and 854,796

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Solution

The third proportional to 546,084 and 854,796 is: 1,338,028.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,084 : 854,796 = 854,796 : x
  2. Step 2: Convert to fraction form
    546,084/854,796 = 854,796/x
  3. Step 3: Cross multiply
    546,084x = 854,796 × 854,796
  4. Step 4: Simplify right side
    546,084x = 730,676,201,616
  5. Step 5: Solve for x
    x = 730,676,201,616/546,084
  6. Step 6: Final answer
    x = 1,338,028.95

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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.