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Finding the Third Proportional to 657,959.63 and 994,109.63

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Solution

The third proportional to 657,959.63 and 994,109.63 is: 1,501,997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,959.63 : 994,109.63 = 994,109.63 : x
  2. Step 2: Convert to fraction form
    657,959.63/994,109.63 = 994,109.63/x
  3. Step 3: Cross multiply
    657,959.63x = 994,109.63 × 994,109.63
  4. Step 4: Simplify right side
    657,959.63x = 988,253,946,517.64
  5. Step 5: Solve for x
    x = 988,253,946,517.64/657,959.63
  6. Step 6: Final answer
    x = 1,501,997.86

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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.