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Finding the Third Proportional to 605,038 and 1,320,110

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Solution

The third proportional to 605,038 and 1,320,110 is: 2,880,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,038 : 1,320,110 = 1,320,110 : x
  2. Step 2: Convert to fraction form
    605,038/1,320,110 = 1,320,110/x
  3. Step 3: Cross multiply
    605,038x = 1,320,110 × 1,320,110
  4. Step 4: Simplify right side
    605,038x = 1,742,690,412,100
  5. Step 5: Solve for x
    x = 1,742,690,412,100/605,038
  6. Step 6: Final answer
    x = 2,880,299.11

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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.