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Finding the Third Proportional to 598,452 and 1,298,634

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Solution

The third proportional to 598,452 and 1,298,634 is: 2,818,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,452 : 1,298,634 = 1,298,634 : x
  2. Step 2: Convert to fraction form
    598,452/1,298,634 = 1,298,634/x
  3. Step 3: Cross multiply
    598,452x = 1,298,634 × 1,298,634
  4. Step 4: Simplify right side
    598,452x = 1,686,450,265,956
  5. Step 5: Solve for x
    x = 1,686,450,265,956/598,452
  6. Step 6: Final answer
    x = 2,818,020.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.