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Finding the Third Proportional to 610,194 and 902,829

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Solution

The third proportional to 610,194 and 902,829 is: 1,335,805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,194 : 902,829 = 902,829 : x
  2. Step 2: Convert to fraction form
    610,194/902,829 = 902,829/x
  3. Step 3: Cross multiply
    610,194x = 902,829 × 902,829
  4. Step 4: Simplify right side
    610,194x = 815,100,203,241
  5. Step 5: Solve for x
    x = 815,100,203,241/610,194
  6. Step 6: Final answer
    x = 1,335,805.01

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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.