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Finding the Third Proportional to 1,376,780 and 2,982,379

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Solution

The third proportional to 1,376,780 and 2,982,379 is: 6,460,425.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,780 : 2,982,379 = 2,982,379 : x
  2. Step 2: Convert to fraction form
    1,376,780/2,982,379 = 2,982,379/x
  3. Step 3: Cross multiply
    1,376,780x = 2,982,379 × 2,982,379
  4. Step 4: Simplify right side
    1,376,780x = 8,894,584,499,641
  5. Step 5: Solve for x
    x = 8,894,584,499,641/1,376,780
  6. Step 6: Final answer
    x = 6,460,425.41

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Why These Related Problems?

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