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Finding the Third Proportional to 633,663 and 1,319,763.38

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Solution

The third proportional to 633,663 and 1,319,763.38 is: 2,748,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,663 : 1,319,763.38 = 1,319,763.38 : x
  2. Step 2: Convert to fraction form
    633,663/1,319,763.38 = 1,319,763.38/x
  3. Step 3: Cross multiply
    633,663x = 1,319,763.38 × 1,319,763.38
  4. Step 4: Simplify right side
    633,663x = 1,741,775,365,991.39
  5. Step 5: Solve for x
    x = 1,741,775,365,991.39/633,663
  6. Step 6: Final answer
    x = 2,748,740.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.