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Finding the Third Proportional to 1,412,469 and 1,813,563

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Solution

The third proportional to 1,412,469 and 1,813,563 is: 2,328,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,469 : 1,813,563 = 1,813,563 : x
  2. Step 2: Convert to fraction form
    1,412,469/1,813,563 = 1,813,563/x
  3. Step 3: Cross multiply
    1,412,469x = 1,813,563 × 1,813,563
  4. Step 4: Simplify right side
    1,412,469x = 3,289,010,754,969
  5. Step 5: Solve for x
    x = 3,289,010,754,969/1,412,469
  6. Step 6: Final answer
    x = 2,328,554.29

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.