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Finding the Third Proportional to 769,932 and 1,588,653

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Solution

The third proportional to 769,932 and 1,588,653 is: 3,277,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,932 : 1,588,653 = 1,588,653 : x
  2. Step 2: Convert to fraction form
    769,932/1,588,653 = 1,588,653/x
  3. Step 3: Cross multiply
    769,932x = 1,588,653 × 1,588,653
  4. Step 4: Simplify right side
    769,932x = 2,523,818,354,409
  5. Step 5: Solve for x
    x = 2,523,818,354,409/769,932
  6. Step 6: Final answer
    x = 3,277,975.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.