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Finding the Third Proportional to 546,492 and 1,120,200

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Solution

The third proportional to 546,492 and 1,120,200 is: 2,296,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,492 : 1,120,200 = 1,120,200 : x
  2. Step 2: Convert to fraction form
    546,492/1,120,200 = 1,120,200/x
  3. Step 3: Cross multiply
    546,492x = 1,120,200 × 1,120,200
  4. Step 4: Simplify right side
    546,492x = 1,254,848,040,000
  5. Step 5: Solve for x
    x = 1,254,848,040,000/546,492
  6. Step 6: Final answer
    x = 2,296,187.39

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.