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Finding the Third Proportional to 598,574 and 1,292,100

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Solution

The third proportional to 598,574 and 1,292,100 is: 2,789,166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,574 : 1,292,100 = 1,292,100 : x
  2. Step 2: Convert to fraction form
    598,574/1,292,100 = 1,292,100/x
  3. Step 3: Cross multiply
    598,574x = 1,292,100 × 1,292,100
  4. Step 4: Simplify right side
    598,574x = 1,669,522,410,000
  5. Step 5: Solve for x
    x = 1,669,522,410,000/598,574
  6. Step 6: Final answer
    x = 2,789,166.27

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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.