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Finding the Third Proportional to 1,024,544 and 1,646,164

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Solution

The third proportional to 1,024,544 and 1,646,164 is: 2,644,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,544 : 1,646,164 = 1,646,164 : x
  2. Step 2: Convert to fraction form
    1,024,544/1,646,164 = 1,646,164/x
  3. Step 3: Cross multiply
    1,024,544x = 1,646,164 × 1,646,164
  4. Step 4: Simplify right side
    1,024,544x = 2,709,855,914,896
  5. Step 5: Solve for x
    x = 2,709,855,914,896/1,024,544
  6. Step 6: Final answer
    x = 2,644,938.54

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.