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Finding the Third Proportional to 674,972 and 1,425,836

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Solution

The third proportional to 674,972 and 1,425,836 is: 3,011,989.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,972 : 1,425,836 = 1,425,836 : x
  2. Step 2: Convert to fraction form
    674,972/1,425,836 = 1,425,836/x
  3. Step 3: Cross multiply
    674,972x = 1,425,836 × 1,425,836
  4. Step 4: Simplify right side
    674,972x = 2,033,008,298,896
  5. Step 5: Solve for x
    x = 2,033,008,298,896/674,972
  6. Step 6: Final answer
    x = 3,011,989.09

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.