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Finding the Third Proportional to 1,774,783.94 and 3,833,323.12

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Solution

The third proportional to 1,774,783.94 and 3,833,323.12 is: 8,279,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774,783.94 : 3,833,323.12 = 3,833,323.12 : x
  2. Step 2: Convert to fraction form
    1,774,783.94/3,833,323.12 = 3,833,323.12/x
  3. Step 3: Cross multiply
    1,774,783.94x = 3,833,323.12 × 3,833,323.12
  4. Step 4: Simplify right side
    1,774,783.94x = 14,694,366,114,682.14
  5. Step 5: Solve for x
    x = 14,694,366,114,682.14/1,774,783.94
  6. Step 6: Final answer
    x = 8,279,523.95

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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.