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Finding the Third Proportional to 1,376,780.63 and 2,982,380.63

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Solution

The third proportional to 1,376,780.63 and 2,982,380.63 is: 6,460,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,780.63 : 2,982,380.63 = 2,982,380.63 : x
  2. Step 2: Convert to fraction form
    1,376,780.63/2,982,380.63 = 2,982,380.63/x
  3. Step 3: Cross multiply
    1,376,780.63x = 2,982,380.63 × 2,982,380.63
  4. Step 4: Simplify right side
    1,376,780.63x = 8,894,594,192,375.39
  5. Step 5: Solve for x
    x = 8,894,594,192,375.39/1,376,780.63
  6. Step 6: Final answer
    x = 6,460,429.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.