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Finding the Third Proportional to 1,578,717 and 2,382,284.25

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Solution

The third proportional to 1,578,717 and 2,382,284.25 is: 3,594,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,717 : 2,382,284.25 = 2,382,284.25 : x
  2. Step 2: Convert to fraction form
    1,578,717/2,382,284.25 = 2,382,284.25/x
  3. Step 3: Cross multiply
    1,578,717x = 2,382,284.25 × 2,382,284.25
  4. Step 4: Simplify right side
    1,578,717x = 5,675,278,247,798.06
  5. Step 5: Solve for x
    x = 5,675,278,247,798.06/1,578,717
  6. Step 6: Final answer
    x = 3,594,867.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.