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Finding the Third Proportional to 713,653.03 and 1,093,086.14

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Solution

The third proportional to 713,653.03 and 1,093,086.14 is: 1,674,255.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,653.03 : 1,093,086.14 = 1,093,086.14 : x
  2. Step 2: Convert to fraction form
    713,653.03/1,093,086.14 = 1,093,086.14/x
  3. Step 3: Cross multiply
    713,653.03x = 1,093,086.14 × 1,093,086.14
  4. Step 4: Simplify right side
    713,653.03x = 1,194,837,310,826.46
  5. Step 5: Solve for x
    x = 1,194,837,310,826.46/713,653.03
  6. Step 6: Final answer
    x = 1,674,255.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.