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Finding the Third Proportional to 429,615 and 941,859

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Solution

The third proportional to 429,615 and 941,859 is: 2,064,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,615 : 941,859 = 941,859 : x
  2. Step 2: Convert to fraction form
    429,615/941,859 = 941,859/x
  3. Step 3: Cross multiply
    429,615x = 941,859 × 941,859
  4. Step 4: Simplify right side
    429,615x = 887,098,375,881
  5. Step 5: Solve for x
    x = 887,098,375,881/429,615
  6. Step 6: Final answer
    x = 2,064,868.26

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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.