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Finding the Third Proportional to 831,552 and 1,761,984

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Solution

The third proportional to 831,552 and 1,761,984 is: 3,733,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,552 : 1,761,984 = 1,761,984 : x
  2. Step 2: Convert to fraction form
    831,552/1,761,984 = 1,761,984/x
  3. Step 3: Cross multiply
    831,552x = 1,761,984 × 1,761,984
  4. Step 4: Simplify right side
    831,552x = 3,104,587,616,256
  5. Step 5: Solve for x
    x = 3,104,587,616,256/831,552
  6. Step 6: Final answer
    x = 3,733,485.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.