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Finding the Third Proportional to 636,856 and 1,022,638

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Solution

The third proportional to 636,856 and 1,022,638 is: 1,642,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,856 : 1,022,638 = 1,022,638 : x
  2. Step 2: Convert to fraction form
    636,856/1,022,638 = 1,022,638/x
  3. Step 3: Cross multiply
    636,856x = 1,022,638 × 1,022,638
  4. Step 4: Simplify right side
    636,856x = 1,045,788,479,044
  5. Step 5: Solve for x
    x = 1,045,788,479,044/636,856
  6. Step 6: Final answer
    x = 1,642,111.37

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.