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Finding the Third Proportional to 427,141.88 and 939,549.75

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Solution

The third proportional to 427,141.88 and 939,549.75 is: 2,066,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,141.88 : 939,549.75 = 939,549.75 : x
  2. Step 2: Convert to fraction form
    427,141.88/939,549.75 = 939,549.75/x
  3. Step 3: Cross multiply
    427,141.88x = 939,549.75 × 939,549.75
  4. Step 4: Simplify right side
    427,141.88x = 882,753,732,725.06
  5. Step 5: Solve for x
    x = 882,753,732,725.06/427,141.88
  6. Step 6: Final answer
    x = 2,066,652.29

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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.