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Finding the Third Proportional to 766,922 and 1,668,519

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Solution

The third proportional to 766,922 and 1,668,519 is: 3,630,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,922 : 1,668,519 = 1,668,519 : x
  2. Step 2: Convert to fraction form
    766,922/1,668,519 = 1,668,519/x
  3. Step 3: Cross multiply
    766,922x = 1,668,519 × 1,668,519
  4. Step 4: Simplify right side
    766,922x = 2,783,955,653,361
  5. Step 5: Solve for x
    x = 2,783,955,653,361/766,922
  6. Step 6: Final answer
    x = 3,630,037.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.