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Finding the Third Proportional to 598,538 and 1,292,035

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Solution

The third proportional to 598,538 and 1,292,035 is: 2,789,053.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,538 : 1,292,035 = 1,292,035 : x
  2. Step 2: Convert to fraction form
    598,538/1,292,035 = 1,292,035/x
  3. Step 3: Cross multiply
    598,538x = 1,292,035 × 1,292,035
  4. Step 4: Simplify right side
    598,538x = 1,669,354,441,225
  5. Step 5: Solve for x
    x = 1,669,354,441,225/598,538
  6. Step 6: Final answer
    x = 2,789,053.40

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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.