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Finding the Third Proportional to 401,174 and 854,332

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Solution

The third proportional to 401,174 and 854,332 is: 1,819,368.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,174 : 854,332 = 854,332 : x
  2. Step 2: Convert to fraction form
    401,174/854,332 = 854,332/x
  3. Step 3: Cross multiply
    401,174x = 854,332 × 854,332
  4. Step 4: Simplify right side
    401,174x = 729,883,166,224
  5. Step 5: Solve for x
    x = 729,883,166,224/401,174
  6. Step 6: Final answer
    x = 1,819,368.07

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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.