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Finding the Third Proportional to 854,672 and 1,237,912

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Solution

The third proportional to 854,672 and 1,237,912 is: 1,792,999.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,672 : 1,237,912 = 1,237,912 : x
  2. Step 2: Convert to fraction form
    854,672/1,237,912 = 1,237,912/x
  3. Step 3: Cross multiply
    854,672x = 1,237,912 × 1,237,912
  4. Step 4: Simplify right side
    854,672x = 1,532,426,119,744
  5. Step 5: Solve for x
    x = 1,532,426,119,744/854,672
  6. Step 6: Final answer
    x = 1,792,999.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.