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Finding the Third Proportional to 705,073 and 1,550,114

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Solution

The third proportional to 705,073 and 1,550,114 is: 3,407,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,073 : 1,550,114 = 1,550,114 : x
  2. Step 2: Convert to fraction form
    705,073/1,550,114 = 1,550,114/x
  3. Step 3: Cross multiply
    705,073x = 1,550,114 × 1,550,114
  4. Step 4: Simplify right side
    705,073x = 2,402,853,412,996
  5. Step 5: Solve for x
    x = 2,402,853,412,996/705,073
  6. Step 6: Final answer
    x = 3,407,949.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.