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Finding the Third Proportional to 602,780 and 818,653

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Solution

The third proportional to 602,780 and 818,653 is: 1,111,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,780 : 818,653 = 818,653 : x
  2. Step 2: Convert to fraction form
    602,780/818,653 = 818,653/x
  3. Step 3: Cross multiply
    602,780x = 818,653 × 818,653
  4. Step 4: Simplify right side
    602,780x = 670,192,734,409
  5. Step 5: Solve for x
    x = 670,192,734,409/602,780
  6. Step 6: Final answer
    x = 1,111,836.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.