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Finding the Third Proportional to 680,209 and 1,484,757

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Solution

The third proportional to 680,209 and 1,484,757 is: 3,240,920.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,209 : 1,484,757 = 1,484,757 : x
  2. Step 2: Convert to fraction form
    680,209/1,484,757 = 1,484,757/x
  3. Step 3: Cross multiply
    680,209x = 1,484,757 × 1,484,757
  4. Step 4: Simplify right side
    680,209x = 2,204,503,349,049
  5. Step 5: Solve for x
    x = 2,204,503,349,049/680,209
  6. Step 6: Final answer
    x = 3,240,920.58

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