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Finding the Third Proportional to 643,980 and 1,412,376

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Solution

The third proportional to 643,980 and 1,412,376 is: 3,097,620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,980 : 1,412,376 = 1,412,376 : x
  2. Step 2: Convert to fraction form
    643,980/1,412,376 = 1,412,376/x
  3. Step 3: Cross multiply
    643,980x = 1,412,376 × 1,412,376
  4. Step 4: Simplify right side
    643,980x = 1,994,805,965,376
  5. Step 5: Solve for x
    x = 1,994,805,965,376/643,980
  6. Step 6: Final answer
    x = 3,097,620.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.