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Finding the Third Proportional to 598,541 and 1,292,041

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Solution

The third proportional to 598,541 and 1,292,041 is: 2,789,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,541 : 1,292,041 = 1,292,041 : x
  2. Step 2: Convert to fraction form
    598,541/1,292,041 = 1,292,041/x
  3. Step 3: Cross multiply
    598,541x = 1,292,041 × 1,292,041
  4. Step 4: Simplify right side
    598,541x = 1,669,369,945,681
  5. Step 5: Solve for x
    x = 1,669,369,945,681/598,541
  6. Step 6: Final answer
    x = 2,789,065.32

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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.