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Finding the Third Proportional to 1,833,843 and 2,750,764.50

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Solution

The third proportional to 1,833,843 and 2,750,764.50 is: 4,126,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833,843 : 2,750,764.50 = 2,750,764.50 : x
  2. Step 2: Convert to fraction form
    1,833,843/2,750,764.50 = 2,750,764.50/x
  3. Step 3: Cross multiply
    1,833,843x = 2,750,764.50 × 2,750,764.50
  4. Step 4: Simplify right side
    1,833,843x = 7,566,705,334,460.25
  5. Step 5: Solve for x
    x = 7,566,705,334,460.25/1,833,843
  6. Step 6: Final answer
    x = 4,126,146.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.