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Finding the Third Proportional to 751,692 and 1,151,352

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Solution

The third proportional to 751,692 and 1,151,352 is: 1,763,503.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,692 : 1,151,352 = 1,151,352 : x
  2. Step 2: Convert to fraction form
    751,692/1,151,352 = 1,151,352/x
  3. Step 3: Cross multiply
    751,692x = 1,151,352 × 1,151,352
  4. Step 4: Simplify right side
    751,692x = 1,325,611,427,904
  5. Step 5: Solve for x
    x = 1,325,611,427,904/751,692
  6. Step 6: Final answer
    x = 1,763,503.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.