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Finding the Third Proportional to 769,482.28 and 1,670,389.59

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Solution

The third proportional to 769,482.28 and 1,670,389.59 is: 3,626,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,482.28 : 1,670,389.59 = 1,670,389.59 : x
  2. Step 2: Convert to fraction form
    769,482.28/1,670,389.59 = 1,670,389.59/x
  3. Step 3: Cross multiply
    769,482.28x = 1,670,389.59 × 1,670,389.59
  4. Step 4: Simplify right side
    769,482.28x = 2,790,201,394,908.29
  5. Step 5: Solve for x
    x = 2,790,201,394,908.29/769,482.28
  6. Step 6: Final answer
    x = 3,626,076.21

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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.