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Finding the Third Proportional to 556,852 and 1,213,064

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Solution

The third proportional to 556,852 and 1,213,064 is: 2,642,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,852 : 1,213,064 = 1,213,064 : x
  2. Step 2: Convert to fraction form
    556,852/1,213,064 = 1,213,064/x
  3. Step 3: Cross multiply
    556,852x = 1,213,064 × 1,213,064
  4. Step 4: Simplify right side
    556,852x = 1,471,524,268,096
  5. Step 5: Solve for x
    x = 1,471,524,268,096/556,852
  6. Step 6: Final answer
    x = 2,642,576.96

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Why These Related Problems?

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