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Finding the Third Proportional to 546,156 and 1,181,736

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Solution

The third proportional to 546,156 and 1,181,736 is: 2,556,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,156 : 1,181,736 = 1,181,736 : x
  2. Step 2: Convert to fraction form
    546,156/1,181,736 = 1,181,736/x
  3. Step 3: Cross multiply
    546,156x = 1,181,736 × 1,181,736
  4. Step 4: Simplify right side
    546,156x = 1,396,499,973,696
  5. Step 5: Solve for x
    x = 1,396,499,973,696/546,156
  6. Step 6: Final answer
    x = 2,556,961.70

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