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Finding the Third Proportional to 831,916 and 1,277,924

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Solution

The third proportional to 831,916 and 1,277,924 is: 1,963,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,916 : 1,277,924 = 1,277,924 : x
  2. Step 2: Convert to fraction form
    831,916/1,277,924 = 1,277,924/x
  3. Step 3: Cross multiply
    831,916x = 1,277,924 × 1,277,924
  4. Step 4: Simplify right side
    831,916x = 1,633,089,749,776
  5. Step 5: Solve for x
    x = 1,633,089,749,776/831,916
  6. Step 6: Final answer
    x = 1,963,046.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.