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Finding the Third Proportional to 1,329,195 and 2,915,724.75

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Solution

The third proportional to 1,329,195 and 2,915,724.75 is: 6,395,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329,195 : 2,915,724.75 = 2,915,724.75 : x
  2. Step 2: Convert to fraction form
    1,329,195/2,915,724.75 = 2,915,724.75/x
  3. Step 3: Cross multiply
    1,329,195x = 2,915,724.75 × 2,915,724.75
  4. Step 4: Simplify right side
    1,329,195x = 8,501,450,817,762.56
  5. Step 5: Solve for x
    x = 8,501,450,817,762.56/1,329,195
  6. Step 6: Final answer
    x = 6,395,939.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.