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Finding the Third Proportional to 605,871 and 1,274,417

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Solution

The third proportional to 605,871 and 1,274,417 is: 2,680,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,871 : 1,274,417 = 1,274,417 : x
  2. Step 2: Convert to fraction form
    605,871/1,274,417 = 1,274,417/x
  3. Step 3: Cross multiply
    605,871x = 1,274,417 × 1,274,417
  4. Step 4: Simplify right side
    605,871x = 1,624,138,689,889
  5. Step 5: Solve for x
    x = 1,624,138,689,889/605,871
  6. Step 6: Final answer
    x = 2,680,667.49

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.