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Finding the Third Proportional to 854,658 and 1,237,891

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Solution

The third proportional to 854,658 and 1,237,891 is: 1,792,967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,658 : 1,237,891 = 1,237,891 : x
  2. Step 2: Convert to fraction form
    854,658/1,237,891 = 1,237,891/x
  3. Step 3: Cross multiply
    854,658x = 1,237,891 × 1,237,891
  4. Step 4: Simplify right side
    854,658x = 1,532,374,127,881
  5. Step 5: Solve for x
    x = 1,532,374,127,881/854,658
  6. Step 6: Final answer
    x = 1,792,967.63

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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.