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Finding the Third Proportional to 510,180 and 1,112,218.50

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Solution

The third proportional to 510,180 and 1,112,218.50 is: 2,424,693.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,180 : 1,112,218.50 = 1,112,218.50 : x
  2. Step 2: Convert to fraction form
    510,180/1,112,218.50 = 1,112,218.50/x
  3. Step 3: Cross multiply
    510,180x = 1,112,218.50 × 1,112,218.50
  4. Step 4: Simplify right side
    510,180x = 1,237,029,991,742.25
  5. Step 5: Solve for x
    x = 1,237,029,991,742.25/510,180
  6. Step 6: Final answer
    x = 2,424,693.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.