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Finding the Third Proportional to 401,106 and 855,588

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Solution

The third proportional to 401,106 and 855,588 is: 1,825,030.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,106 : 855,588 = 855,588 : x
  2. Step 2: Convert to fraction form
    401,106/855,588 = 855,588/x
  3. Step 3: Cross multiply
    401,106x = 855,588 × 855,588
  4. Step 4: Simplify right side
    401,106x = 732,030,825,744
  5. Step 5: Solve for x
    x = 732,030,825,744/401,106
  6. Step 6: Final answer
    x = 1,825,030.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.