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Finding the Third Proportional to 731,871 and 1,585,916

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Solution

The third proportional to 731,871 and 1,585,916 is: 3,436,574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,871 : 1,585,916 = 1,585,916 : x
  2. Step 2: Convert to fraction form
    731,871/1,585,916 = 1,585,916/x
  3. Step 3: Cross multiply
    731,871x = 1,585,916 × 1,585,916
  4. Step 4: Simplify right side
    731,871x = 2,515,129,559,056
  5. Step 5: Solve for x
    x = 2,515,129,559,056/731,871
  6. Step 6: Final answer
    x = 3,436,574.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.