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Finding the Third Proportional to 409,006.13 and 855,596.25

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Solution

The third proportional to 409,006.13 and 855,596.25 is: 1,789,814.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,006.13 : 855,596.25 = 855,596.25 : x
  2. Step 2: Convert to fraction form
    409,006.13/855,596.25 = 855,596.25/x
  3. Step 3: Cross multiply
    409,006.13x = 855,596.25 × 855,596.25
  4. Step 4: Simplify right side
    409,006.13x = 732,044,943,014.06
  5. Step 5: Solve for x
    x = 732,044,943,014.06/409,006.13
  6. Step 6: Final answer
    x = 1,789,814.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.