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Finding the Third Proportional to 636,861 and 1,022,637

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Solution

The third proportional to 636,861 and 1,022,637 is: 1,642,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,861 : 1,022,637 = 1,022,637 : x
  2. Step 2: Convert to fraction form
    636,861/1,022,637 = 1,022,637/x
  3. Step 3: Cross multiply
    636,861x = 1,022,637 × 1,022,637
  4. Step 4: Simplify right side
    636,861x = 1,045,786,433,769
  5. Step 5: Solve for x
    x = 1,045,786,433,769/636,861
  6. Step 6: Final answer
    x = 1,642,095.27

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Why These Related Problems?

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