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Finding the Third Proportional to 829,695 and 1,135,481

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Solution

The third proportional to 829,695 and 1,135,481 is: 1,553,965.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,695 : 1,135,481 = 1,135,481 : x
  2. Step 2: Convert to fraction form
    829,695/1,135,481 = 1,135,481/x
  3. Step 3: Cross multiply
    829,695x = 1,135,481 × 1,135,481
  4. Step 4: Simplify right side
    829,695x = 1,289,317,101,361
  5. Step 5: Solve for x
    x = 1,289,317,101,361/829,695
  6. Step 6: Final answer
    x = 1,553,965.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.