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Finding the Third Proportional to 702,180 and 1,059,483

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Solution

The third proportional to 702,180 and 1,059,483 is: 1,598,598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,180 : 1,059,483 = 1,059,483 : x
  2. Step 2: Convert to fraction form
    702,180/1,059,483 = 1,059,483/x
  3. Step 3: Cross multiply
    702,180x = 1,059,483 × 1,059,483
  4. Step 4: Simplify right side
    702,180x = 1,122,504,227,289
  5. Step 5: Solve for x
    x = 1,122,504,227,289/702,180
  6. Step 6: Final answer
    x = 1,598,598.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.