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Finding the Third Proportional to 591,628 and 902,778

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Solution

The third proportional to 591,628 and 902,778 is: 1,377,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,628 : 902,778 = 902,778 : x
  2. Step 2: Convert to fraction form
    591,628/902,778 = 902,778/x
  3. Step 3: Cross multiply
    591,628x = 902,778 × 902,778
  4. Step 4: Simplify right side
    591,628x = 815,008,117,284
  5. Step 5: Solve for x
    x = 815,008,117,284/591,628
  6. Step 6: Final answer
    x = 1,377,568.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.