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Finding the Third Proportional to 1,376,676 and 2,952,638

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Solution

The third proportional to 1,376,676 and 2,952,638 is: 6,332,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,676 : 2,952,638 = 2,952,638 : x
  2. Step 2: Convert to fraction form
    1,376,676/2,952,638 = 2,952,638/x
  3. Step 3: Cross multiply
    1,376,676x = 2,952,638 × 2,952,638
  4. Step 4: Simplify right side
    1,376,676x = 8,718,071,159,044
  5. Step 5: Solve for x
    x = 8,718,071,159,044/1,376,676
  6. Step 6: Final answer
    x = 6,332,696.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.