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Finding the Third Proportional to 598,360 and 1,291,852

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Solution

The third proportional to 598,360 and 1,291,852 is: 2,789,092.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,360 : 1,291,852 = 1,291,852 : x
  2. Step 2: Convert to fraction form
    598,360/1,291,852 = 1,291,852/x
  3. Step 3: Cross multiply
    598,360x = 1,291,852 × 1,291,852
  4. Step 4: Simplify right side
    598,360x = 1,668,881,589,904
  5. Step 5: Solve for x
    x = 1,668,881,589,904/598,360
  6. Step 6: Final answer
    x = 2,789,092.84

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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.