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Finding the Third Proportional to 623,620.78 and 1,347,033.56

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Solution

The third proportional to 623,620.78 and 1,347,033.56 is: 2,909,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,620.78 : 1,347,033.56 = 1,347,033.56 : x
  2. Step 2: Convert to fraction form
    623,620.78/1,347,033.56 = 1,347,033.56/x
  3. Step 3: Cross multiply
    623,620.78x = 1,347,033.56 × 1,347,033.56
  4. Step 4: Simplify right side
    623,620.78x = 1,814,499,418,501.44
  5. Step 5: Solve for x
    x = 1,814,499,418,501.44/623,620.78
  6. Step 6: Final answer
    x = 2,909,619.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.