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Finding the Third Proportional to 429,057 and 931,923

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Solution

The third proportional to 429,057 and 931,923 is: 2,024,161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,057 : 931,923 = 931,923 : x
  2. Step 2: Convert to fraction form
    429,057/931,923 = 931,923/x
  3. Step 3: Cross multiply
    429,057x = 931,923 × 931,923
  4. Step 4: Simplify right side
    429,057x = 868,480,477,929
  5. Step 5: Solve for x
    x = 868,480,477,929/429,057
  6. Step 6: Final answer
    x = 2,024,161.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.