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Finding the Third Proportional to 702,198 and 1,059,501

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Solution

The third proportional to 702,198 and 1,059,501 is: 1,598,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,198 : 1,059,501 = 1,059,501 : x
  2. Step 2: Convert to fraction form
    702,198/1,059,501 = 1,059,501/x
  3. Step 3: Cross multiply
    702,198x = 1,059,501 × 1,059,501
  4. Step 4: Simplify right side
    702,198x = 1,122,542,369,001
  5. Step 5: Solve for x
    x = 1,122,542,369,001/702,198
  6. Step 6: Final answer
    x = 1,598,612.31

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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.