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Finding the Third Proportional to 654,721 and 1,412,653

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Solution

The third proportional to 654,721 and 1,412,653 is: 3,047,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,721 : 1,412,653 = 1,412,653 : x
  2. Step 2: Convert to fraction form
    654,721/1,412,653 = 1,412,653/x
  3. Step 3: Cross multiply
    654,721x = 1,412,653 × 1,412,653
  4. Step 4: Simplify right side
    654,721x = 1,995,588,498,409
  5. Step 5: Solve for x
    x = 1,995,588,498,409/654,721
  6. Step 6: Final answer
    x = 3,047,998.31

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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.