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Finding the Third Proportional to 633,970 and 1,381,668

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Solution

The third proportional to 633,970 and 1,381,668 is: 3,011,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,970 : 1,381,668 = 1,381,668 : x
  2. Step 2: Convert to fraction form
    633,970/1,381,668 = 1,381,668/x
  3. Step 3: Cross multiply
    633,970x = 1,381,668 × 1,381,668
  4. Step 4: Simplify right side
    633,970x = 1,909,006,462,224
  5. Step 5: Solve for x
    x = 1,909,006,462,224/633,970
  6. Step 6: Final answer
    x = 3,011,193.69

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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.