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Finding the Third Proportional to 543,142 and 1,193,276

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Solution

The third proportional to 543,142 and 1,193,276 is: 2,621,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,142 : 1,193,276 = 1,193,276 : x
  2. Step 2: Convert to fraction form
    543,142/1,193,276 = 1,193,276/x
  3. Step 3: Cross multiply
    543,142x = 1,193,276 × 1,193,276
  4. Step 4: Simplify right side
    543,142x = 1,423,907,612,176
  5. Step 5: Solve for x
    x = 1,423,907,612,176/543,142
  6. Step 6: Final answer
    x = 2,621,612.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.