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Finding the Third Proportional to 429,059 and 931,927

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Solution

The third proportional to 429,059 and 931,927 is: 2,024,169.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,059 : 931,927 = 931,927 : x
  2. Step 2: Convert to fraction form
    429,059/931,927 = 931,927/x
  3. Step 3: Cross multiply
    429,059x = 931,927 × 931,927
  4. Step 4: Simplify right side
    429,059x = 868,487,933,329
  5. Step 5: Solve for x
    x = 868,487,933,329/429,059
  6. Step 6: Final answer
    x = 2,024,169.01

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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.