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Finding the Third Proportional to 657,544 and 990,096

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Solution

The third proportional to 657,544 and 990,096 is: 1,490,835.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,544 : 990,096 = 990,096 : x
  2. Step 2: Convert to fraction form
    657,544/990,096 = 990,096/x
  3. Step 3: Cross multiply
    657,544x = 990,096 × 990,096
  4. Step 4: Simplify right side
    657,544x = 980,290,089,216
  5. Step 5: Solve for x
    x = 980,290,089,216/657,544
  6. Step 6: Final answer
    x = 1,490,835.73

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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.