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Finding the Third Proportional to 602,804 and 820,915

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Solution

The third proportional to 602,804 and 820,915 is: 1,117,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,804 : 820,915 = 820,915 : x
  2. Step 2: Convert to fraction form
    602,804/820,915 = 820,915/x
  3. Step 3: Cross multiply
    602,804x = 820,915 × 820,915
  4. Step 4: Simplify right side
    602,804x = 673,901,437,225
  5. Step 5: Solve for x
    x = 673,901,437,225/602,804
  6. Step 6: Final answer
    x = 1,117,944.53

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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.