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Finding the Third Proportional to 1,360,428.75 and 2,969,520.75

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Solution

The third proportional to 1,360,428.75 and 2,969,520.75 is: 6,481,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360,428.75 : 2,969,520.75 = 2,969,520.75 : x
  2. Step 2: Convert to fraction form
    1,360,428.75/2,969,520.75 = 2,969,520.75/x
  3. Step 3: Cross multiply
    1,360,428.75x = 2,969,520.75 × 2,969,520.75
  4. Step 4: Simplify right side
    1,360,428.75x = 8,818,053,484,680.56
  5. Step 5: Solve for x
    x = 8,818,053,484,680.56/1,360,428.75
  6. Step 6: Final answer
    x = 6,481,819.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.