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Finding the Third Proportional to 633,664.38 and 1,319,748.13

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Solution

The third proportional to 633,664.38 and 1,319,748.13 is: 2,748,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,664.38 : 1,319,748.13 = 1,319,748.13 : x
  2. Step 2: Convert to fraction form
    633,664.38/1,319,748.13 = 1,319,748.13/x
  3. Step 3: Cross multiply
    633,664.38x = 1,319,748.13 × 1,319,748.13
  4. Step 4: Simplify right side
    633,664.38x = 1,741,735,113,441.02
  5. Step 5: Solve for x
    x = 1,741,735,113,441.02/633,664.38
  6. Step 6: Final answer
    x = 2,748,671.35

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