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Finding the Third Proportional to 705,780 and 1,121,748.75

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Solution

The third proportional to 705,780 and 1,121,748.75 is: 1,782,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,780 : 1,121,748.75 = 1,121,748.75 : x
  2. Step 2: Convert to fraction form
    705,780/1,121,748.75 = 1,121,748.75/x
  3. Step 3: Cross multiply
    705,780x = 1,121,748.75 × 1,121,748.75
  4. Step 4: Simplify right side
    705,780x = 1,258,320,258,126.56
  5. Step 5: Solve for x
    x = 1,258,320,258,126.56/705,780
  6. Step 6: Final answer
    x = 1,782,878.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.