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Finding the Third Proportional to 546,512.25 and 1,201,486.50

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Solution

The third proportional to 546,512.25 and 1,201,486.50 is: 2,641,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,512.25 : 1,201,486.50 = 1,201,486.50 : x
  2. Step 2: Convert to fraction form
    546,512.25/1,201,486.50 = 1,201,486.50/x
  3. Step 3: Cross multiply
    546,512.25x = 1,201,486.50 × 1,201,486.50
  4. Step 4: Simplify right side
    546,512.25x = 1,443,569,809,682.25
  5. Step 5: Solve for x
    x = 1,443,569,809,682.25/546,512.25
  6. Step 6: Final answer
    x = 2,641,422.60

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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.