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Finding the Third Proportional to 653,384 and 985,611

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Solution

The third proportional to 653,384 and 985,611 is: 1,486,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,384 : 985,611 = 985,611 : x
  2. Step 2: Convert to fraction form
    653,384/985,611 = 985,611/x
  3. Step 3: Cross multiply
    653,384x = 985,611 × 985,611
  4. Step 4: Simplify right side
    653,384x = 971,429,043,321
  5. Step 5: Solve for x
    x = 971,429,043,321/653,384
  6. Step 6: Final answer
    x = 1,486,765.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.