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Finding the Third Proportional to 546,954 and 1,181,543

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Solution

The third proportional to 546,954 and 1,181,543 is: 2,552,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,954 : 1,181,543 = 1,181,543 : x
  2. Step 2: Convert to fraction form
    546,954/1,181,543 = 1,181,543/x
  3. Step 3: Cross multiply
    546,954x = 1,181,543 × 1,181,543
  4. Step 4: Simplify right side
    546,954x = 1,396,043,860,849
  5. Step 5: Solve for x
    x = 1,396,043,860,849/546,954
  6. Step 6: Final answer
    x = 2,552,397.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.