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Finding the Third Proportional to 680,197.50 and 1,404,459

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Solution

The third proportional to 680,197.50 and 1,404,459 is: 2,899,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,197.50 : 1,404,459 = 1,404,459 : x
  2. Step 2: Convert to fraction form
    680,197.50/1,404,459 = 1,404,459/x
  3. Step 3: Cross multiply
    680,197.50x = 1,404,459 × 1,404,459
  4. Step 4: Simplify right side
    680,197.50x = 1,972,505,082,681
  5. Step 5: Solve for x
    x = 1,972,505,082,681/680,197.50
  6. Step 6: Final answer
    x = 2,899,900.52

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.