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Finding the Third Proportional to 1,305,923.63 and 1,773,410.63

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Solution

The third proportional to 1,305,923.63 and 1,773,410.63 is: 2,408,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,923.63 : 1,773,410.63 = 1,773,410.63 : x
  2. Step 2: Convert to fraction form
    1,305,923.63/1,773,410.63 = 1,773,410.63/x
  3. Step 3: Cross multiply
    1,305,923.63x = 1,773,410.63 × 1,773,410.63
  4. Step 4: Simplify right side
    1,305,923.63x = 3,144,985,244,862.89
  5. Step 5: Solve for x
    x = 3,144,985,244,862.89/1,305,923.63
  6. Step 6: Final answer
    x = 2,408,245.92

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.