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Finding the Third Proportional to 666,736.31 and 1,438,467.19

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Solution

The third proportional to 666,736.31 and 1,438,467.19 is: 3,103,457.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,736.31 : 1,438,467.19 = 1,438,467.19 : x
  2. Step 2: Convert to fraction form
    666,736.31/1,438,467.19 = 1,438,467.19/x
  3. Step 3: Cross multiply
    666,736.31x = 1,438,467.19 × 1,438,467.19
  4. Step 4: Simplify right side
    666,736.31x = 2,069,187,849,514.16
  5. Step 5: Solve for x
    x = 2,069,187,849,514.16/666,736.31
  6. Step 6: Final answer
    x = 3,103,457.56

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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.