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Finding the Third Proportional to 997,066 and 1,546,815

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Solution

The third proportional to 997,066 and 1,546,815 is: 2,399,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,066 : 1,546,815 = 1,546,815 : x
  2. Step 2: Convert to fraction form
    997,066/1,546,815 = 1,546,815/x
  3. Step 3: Cross multiply
    997,066x = 1,546,815 × 1,546,815
  4. Step 4: Simplify right side
    997,066x = 2,392,636,644,225
  5. Step 5: Solve for x
    x = 2,392,636,644,225/997,066
  6. Step 6: Final answer
    x = 2,399,677.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.