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Finding the Third Proportional to 415,581 and 902,097

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Solution

The third proportional to 415,581 and 902,097 is: 1,958,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,581 : 902,097 = 902,097 : x
  2. Step 2: Convert to fraction form
    415,581/902,097 = 902,097/x
  3. Step 3: Cross multiply
    415,581x = 902,097 × 902,097
  4. Step 4: Simplify right side
    415,581x = 813,778,997,409
  5. Step 5: Solve for x
    x = 813,778,997,409/415,581
  6. Step 6: Final answer
    x = 1,958,171.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.