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Finding the Third Proportional to 674,974 and 1,425,840

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Solution

The third proportional to 674,974 and 1,425,840 is: 3,011,997.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,974 : 1,425,840 = 1,425,840 : x
  2. Step 2: Convert to fraction form
    674,974/1,425,840 = 1,425,840/x
  3. Step 3: Cross multiply
    674,974x = 1,425,840 × 1,425,840
  4. Step 4: Simplify right side
    674,974x = 2,033,019,705,600
  5. Step 5: Solve for x
    x = 2,033,019,705,600/674,974
  6. Step 6: Final answer
    x = 3,011,997.06

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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.