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Finding the Third Proportional to 1,313,382 and 2,784,915

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Solution

The third proportional to 1,313,382 and 2,784,915 is: 5,905,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,382 : 2,784,915 = 2,784,915 : x
  2. Step 2: Convert to fraction form
    1,313,382/2,784,915 = 2,784,915/x
  3. Step 3: Cross multiply
    1,313,382x = 2,784,915 × 2,784,915
  4. Step 4: Simplify right side
    1,313,382x = 7,755,751,557,225
  5. Step 5: Solve for x
    x = 7,755,751,557,225/1,313,382
  6. Step 6: Final answer
    x = 5,905,175.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.