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Finding the Third Proportional to 1,676,226 and 3,620,376

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Solution

The third proportional to 1,676,226 and 3,620,376 is: 7,819,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676,226 : 3,620,376 = 3,620,376 : x
  2. Step 2: Convert to fraction form
    1,676,226/3,620,376 = 3,620,376/x
  3. Step 3: Cross multiply
    1,676,226x = 3,620,376 × 3,620,376
  4. Step 4: Simplify right side
    1,676,226x = 13,107,122,381,376
  5. Step 5: Solve for x
    x = 13,107,122,381,376/1,676,226
  6. Step 6: Final answer
    x = 7,819,424.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.