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Finding the Third Proportional to 657,933 and 991,761

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Solution

The third proportional to 657,933 and 991,761 is: 1,494,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,933 : 991,761 = 991,761 : x
  2. Step 2: Convert to fraction form
    657,933/991,761 = 991,761/x
  3. Step 3: Cross multiply
    657,933x = 991,761 × 991,761
  4. Step 4: Simplify right side
    657,933x = 983,589,881,121
  5. Step 5: Solve for x
    x = 983,589,881,121/657,933
  6. Step 6: Final answer
    x = 1,494,969.67

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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.