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Finding the Third Proportional to 1,767,340.69 and 3,813,674.91

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Solution

The third proportional to 1,767,340.69 and 3,813,674.91 is: 8,229,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767,340.69 : 3,813,674.91 = 3,813,674.91 : x
  2. Step 2: Convert to fraction form
    1,767,340.69/3,813,674.91 = 3,813,674.91/x
  3. Step 3: Cross multiply
    1,767,340.69x = 3,813,674.91 × 3,813,674.91
  4. Step 4: Simplify right side
    1,767,340.69x = 14,544,116,290,560.95
  5. Step 5: Solve for x
    x = 14,544,116,290,560.95/1,767,340.69
  6. Step 6: Final answer
    x = 8,229,378.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.