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Finding the Third Proportional to 598,392 and 1,291,896

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Solution

The third proportional to 598,392 and 1,291,896 is: 2,789,133.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,392 : 1,291,896 = 1,291,896 : x
  2. Step 2: Convert to fraction form
    598,392/1,291,896 = 1,291,896/x
  3. Step 3: Cross multiply
    598,392x = 1,291,896 × 1,291,896
  4. Step 4: Simplify right side
    598,392x = 1,668,995,274,816
  5. Step 5: Solve for x
    x = 1,668,995,274,816/598,392
  6. Step 6: Final answer
    x = 2,789,133.67

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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.