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Finding the Third Proportional to 680,734.13 and 1,450,892.25

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Solution

The third proportional to 680,734.13 and 1,450,892.25 is: 3,092,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,734.13 : 1,450,892.25 = 1,450,892.25 : x
  2. Step 2: Convert to fraction form
    680,734.13/1,450,892.25 = 1,450,892.25/x
  3. Step 3: Cross multiply
    680,734.13x = 1,450,892.25 × 1,450,892.25
  4. Step 4: Simplify right side
    680,734.13x = 2,105,088,321,110.06
  5. Step 5: Solve for x
    x = 2,105,088,321,110.06/680,734.13
  6. Step 6: Final answer
    x = 3,092,379.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.