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Finding the Third Proportional to 1,021,540 and 1,546,512

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Solution

The third proportional to 1,021,540 and 1,546,512 is: 2,341,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021,540 : 1,546,512 = 1,546,512 : x
  2. Step 2: Convert to fraction form
    1,021,540/1,546,512 = 1,546,512/x
  3. Step 3: Cross multiply
    1,021,540x = 1,546,512 × 1,546,512
  4. Step 4: Simplify right side
    1,021,540x = 2,391,699,366,144
  5. Step 5: Solve for x
    x = 2,391,699,366,144/1,021,540
  6. Step 6: Final answer
    x = 2,341,268.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.