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Finding the Third Proportional to 752,481 and 1,607,013

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Solution

The third proportional to 752,481 and 1,607,013 is: 3,431,968.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,481 : 1,607,013 = 1,607,013 : x
  2. Step 2: Convert to fraction form
    752,481/1,607,013 = 1,607,013/x
  3. Step 3: Cross multiply
    752,481x = 1,607,013 × 1,607,013
  4. Step 4: Simplify right side
    752,481x = 2,582,490,782,169
  5. Step 5: Solve for x
    x = 2,582,490,782,169/752,481
  6. Step 6: Final answer
    x = 3,431,968.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.