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Finding the Third Proportional to 1,172,160 and 1,780,704

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Solution

The third proportional to 1,172,160 and 1,780,704 is: 2,705,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172,160 : 1,780,704 = 1,780,704 : x
  2. Step 2: Convert to fraction form
    1,172,160/1,780,704 = 1,780,704/x
  3. Step 3: Cross multiply
    1,172,160x = 1,780,704 × 1,780,704
  4. Step 4: Simplify right side
    1,172,160x = 3,170,906,735,616
  5. Step 5: Solve for x
    x = 3,170,906,735,616/1,172,160
  6. Step 6: Final answer
    x = 2,705,182.51

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.