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Finding the Third Proportional to 610,296 and 887,742

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Solution

The third proportional to 610,296 and 887,742 is: 1,291,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,296 : 887,742 = 887,742 : x
  2. Step 2: Convert to fraction form
    610,296/887,742 = 887,742/x
  3. Step 3: Cross multiply
    610,296x = 887,742 × 887,742
  4. Step 4: Simplify right side
    610,296x = 788,085,858,564
  5. Step 5: Solve for x
    x = 788,085,858,564/610,296
  6. Step 6: Final answer
    x = 1,291,317.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.