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Finding the Third Proportional to 504,640 and 1,102,160

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Solution

The third proportional to 504,640 and 1,102,160 is: 2,407,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,640 : 1,102,160 = 1,102,160 : x
  2. Step 2: Convert to fraction form
    504,640/1,102,160 = 1,102,160/x
  3. Step 3: Cross multiply
    504,640x = 1,102,160 × 1,102,160
  4. Step 4: Simplify right side
    504,640x = 1,214,756,665,600
  5. Step 5: Solve for x
    x = 1,214,756,665,600/504,640
  6. Step 6: Final answer
    x = 2,407,174.75

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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.