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Finding the Third Proportional to 598,539 and 1,292,037

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Solution

The third proportional to 598,539 and 1,292,037 is: 2,789,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,539 : 1,292,037 = 1,292,037 : x
  2. Step 2: Convert to fraction form
    598,539/1,292,037 = 1,292,037/x
  3. Step 3: Cross multiply
    598,539x = 1,292,037 × 1,292,037
  4. Step 4: Simplify right side
    598,539x = 1,669,359,609,369
  5. Step 5: Solve for x
    x = 1,669,359,609,369/598,539
  6. Step 6: Final answer
    x = 2,789,057.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.