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Finding the Third Proportional to 482,266 and 1,059,120

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Solution

The third proportional to 482,266 and 1,059,120 is: 2,325,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,266 : 1,059,120 = 1,059,120 : x
  2. Step 2: Convert to fraction form
    482,266/1,059,120 = 1,059,120/x
  3. Step 3: Cross multiply
    482,266x = 1,059,120 × 1,059,120
  4. Step 4: Simplify right side
    482,266x = 1,121,735,174,400
  5. Step 5: Solve for x
    x = 1,121,735,174,400/482,266
  6. Step 6: Final answer
    x = 2,325,967.77

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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.