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Finding the Third Proportional to 680,189.91 and 1,484,719.88

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Solution

The third proportional to 680,189.91 and 1,484,719.88 is: 3,240,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,189.91 : 1,484,719.88 = 1,484,719.88 : x
  2. Step 2: Convert to fraction form
    680,189.91/1,484,719.88 = 1,484,719.88/x
  3. Step 3: Cross multiply
    680,189.91x = 1,484,719.88 × 1,484,719.88
  4. Step 4: Simplify right side
    680,189.91x = 2,204,393,107,220.02
  5. Step 5: Solve for x
    x = 2,204,393,107,220.02/680,189.91
  6. Step 6: Final answer
    x = 3,240,849.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.