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Finding the Third Proportional to 1,152,949 and 1,642,393

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Solution

The third proportional to 1,152,949 and 1,642,393 is: 2,339,613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152,949 : 1,642,393 = 1,642,393 : x
  2. Step 2: Convert to fraction form
    1,152,949/1,642,393 = 1,642,393/x
  3. Step 3: Cross multiply
    1,152,949x = 1,642,393 × 1,642,393
  4. Step 4: Simplify right side
    1,152,949x = 2,697,454,766,449
  5. Step 5: Solve for x
    x = 2,697,454,766,449/1,152,949
  6. Step 6: Final answer
    x = 2,339,613.26

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.