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Finding the Third Proportional to 610,188 and 902,820

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Solution

The third proportional to 610,188 and 902,820 is: 1,335,791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,188 : 902,820 = 902,820 : x
  2. Step 2: Convert to fraction form
    610,188/902,820 = 902,820/x
  3. Step 3: Cross multiply
    610,188x = 902,820 × 902,820
  4. Step 4: Simplify right side
    610,188x = 815,083,952,400
  5. Step 5: Solve for x
    x = 815,083,952,400/610,188
  6. Step 6: Final answer
    x = 1,335,791.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.