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Finding the Third Proportional to 426,676 and 933,704

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Solution

The third proportional to 426,676 and 933,704 is: 2,043,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,676 : 933,704 = 933,704 : x
  2. Step 2: Convert to fraction form
    426,676/933,704 = 933,704/x
  3. Step 3: Cross multiply
    426,676x = 933,704 × 933,704
  4. Step 4: Simplify right side
    426,676x = 871,803,159,616
  5. Step 5: Solve for x
    x = 871,803,159,616/426,676
  6. Step 6: Final answer
    x = 2,043,243.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.