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Finding the Third Proportional to 401,927.63 and 884,817.38

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Solution

The third proportional to 401,927.63 and 884,817.38 is: 1,947,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,927.63 : 884,817.38 = 884,817.38 : x
  2. Step 2: Convert to fraction form
    401,927.63/884,817.38 = 884,817.38/x
  3. Step 3: Cross multiply
    401,927.63x = 884,817.38 × 884,817.38
  4. Step 4: Simplify right side
    401,927.63x = 782,901,787,101.89
  5. Step 5: Solve for x
    x = 782,901,787,101.89/401,927.63
  6. Step 6: Final answer
    x = 1,947,867.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.