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Finding the Third Proportional to 778,256 and 1,704,132

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Solution

The third proportional to 778,256 and 1,704,132 is: 3,731,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,256 : 1,704,132 = 1,704,132 : x
  2. Step 2: Convert to fraction form
    778,256/1,704,132 = 1,704,132/x
  3. Step 3: Cross multiply
    778,256x = 1,704,132 × 1,704,132
  4. Step 4: Simplify right side
    778,256x = 2,904,065,873,424
  5. Step 5: Solve for x
    x = 2,904,065,873,424/778,256
  6. Step 6: Final answer
    x = 3,731,504.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.