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Finding the Third Proportional to 452,118 and 683,997

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Solution

The third proportional to 452,118 and 683,997 is: 1,034,800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,118 : 683,997 = 683,997 : x
  2. Step 2: Convert to fraction form
    452,118/683,997 = 683,997/x
  3. Step 3: Cross multiply
    452,118x = 683,997 × 683,997
  4. Step 4: Simplify right side
    452,118x = 467,851,896,009
  5. Step 5: Solve for x
    x = 467,851,896,009/452,118
  6. Step 6: Final answer
    x = 1,034,800.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.