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Finding the Third Proportional to 780,113.53 and 1,676,244.38

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Solution

The third proportional to 780,113.53 and 1,676,244.38 is: 3,601,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,113.53 : 1,676,244.38 = 1,676,244.38 : x
  2. Step 2: Convert to fraction form
    780,113.53/1,676,244.38 = 1,676,244.38/x
  3. Step 3: Cross multiply
    780,113.53x = 1,676,244.38 × 1,676,244.38
  4. Step 4: Simplify right side
    780,113.53x = 2,809,795,204,719.14
  5. Step 5: Solve for x
    x = 2,809,795,204,719.14/780,113.53
  6. Step 6: Final answer
    x = 3,601,777.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.