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Finding the Third Proportional to 673,687.13 and 984,246.19

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Solution

The third proportional to 673,687.13 and 984,246.19 is: 1,437,968.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,687.13 : 984,246.19 = 984,246.19 : x
  2. Step 2: Convert to fraction form
    673,687.13/984,246.19 = 984,246.19/x
  3. Step 3: Cross multiply
    673,687.13x = 984,246.19 × 984,246.19
  4. Step 4: Simplify right side
    673,687.13x = 968,740,557,608.29
  5. Step 5: Solve for x
    x = 968,740,557,608.29/673,687.13
  6. Step 6: Final answer
    x = 1,437,968.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.