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Finding the Third Proportional to 424,188 and 909,097

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Solution

The third proportional to 424,188 and 909,097 is: 1,948,327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,188 : 909,097 = 909,097 : x
  2. Step 2: Convert to fraction form
    424,188/909,097 = 909,097/x
  3. Step 3: Cross multiply
    424,188x = 909,097 × 909,097
  4. Step 4: Simplify right side
    424,188x = 826,457,355,409
  5. Step 5: Solve for x
    x = 826,457,355,409/424,188
  6. Step 6: Final answer
    x = 1,948,327.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.