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Finding the Third Proportional to 672,958.13 and 1,458,478.41

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Solution

The third proportional to 672,958.13 and 1,458,478.41 is: 3,160,908.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,958.13 : 1,458,478.41 = 1,458,478.41 : x
  2. Step 2: Convert to fraction form
    672,958.13/1,458,478.41 = 1,458,478.41/x
  3. Step 3: Cross multiply
    672,958.13x = 1,458,478.41 × 1,458,478.41
  4. Step 4: Simplify right side
    672,958.13x = 2,127,159,261,497.54
  5. Step 5: Solve for x
    x = 2,127,159,261,497.54/672,958.13
  6. Step 6: Final answer
    x = 3,160,908.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.