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Finding the Third Proportional to 657,958 and 994,106

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Solution

The third proportional to 657,958 and 994,106 is: 1,501,990.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,958 : 994,106 = 994,106 : x
  2. Step 2: Convert to fraction form
    657,958/994,106 = 994,106/x
  3. Step 3: Cross multiply
    657,958x = 994,106 × 994,106
  4. Step 4: Simplify right side
    657,958x = 988,246,739,236
  5. Step 5: Solve for x
    x = 988,246,739,236/657,958
  6. Step 6: Final answer
    x = 1,501,990.61

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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.