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Finding the Third Proportional to 404,580 and 882,888

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Solution

The third proportional to 404,580 and 882,888 is: 1,926,667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,580 : 882,888 = 882,888 : x
  2. Step 2: Convert to fraction form
    404,580/882,888 = 882,888/x
  3. Step 3: Cross multiply
    404,580x = 882,888 × 882,888
  4. Step 4: Simplify right side
    404,580x = 779,491,220,544
  5. Step 5: Solve for x
    x = 779,491,220,544/404,580
  6. Step 6: Final answer
    x = 1,926,667.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.