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Finding the Third Proportional to 1,780,602.75 and 3,831,198.75

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Solution

The third proportional to 1,780,602.75 and 3,831,198.75 is: 8,243,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,602.75 : 3,831,198.75 = 3,831,198.75 : x
  2. Step 2: Convert to fraction form
    1,780,602.75/3,831,198.75 = 3,831,198.75/x
  3. Step 3: Cross multiply
    1,780,602.75x = 3,831,198.75 × 3,831,198.75
  4. Step 4: Simplify right side
    1,780,602.75x = 14,678,083,862,001.56
  5. Step 5: Solve for x
    x = 14,678,083,862,001.56/1,780,602.75
  6. Step 6: Final answer
    x = 8,243,323.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.