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Finding the Third Proportional to 429,062 and 931,933

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Solution

The third proportional to 429,062 and 931,933 is: 2,024,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,062 : 931,933 = 931,933 : x
  2. Step 2: Convert to fraction form
    429,062/931,933 = 931,933/x
  3. Step 3: Cross multiply
    429,062x = 931,933 × 931,933
  4. Step 4: Simplify right side
    429,062x = 868,499,116,489
  5. Step 5: Solve for x
    x = 868,499,116,489/429,062
  6. Step 6: Final answer
    x = 2,024,180.93

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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.