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Finding the Third Proportional to 771,998.25 and 1,701,055.50

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Solution

The third proportional to 771,998.25 and 1,701,055.50 is: 3,748,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,998.25 : 1,701,055.50 = 1,701,055.50 : x
  2. Step 2: Convert to fraction form
    771,998.25/1,701,055.50 = 1,701,055.50/x
  3. Step 3: Cross multiply
    771,998.25x = 1,701,055.50 × 1,701,055.50
  4. Step 4: Simplify right side
    771,998.25x = 2,893,589,814,080.25
  5. Step 5: Solve for x
    x = 2,893,589,814,080.25/771,998.25
  6. Step 6: Final answer
    x = 3,748,181.83

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Why These Related Problems?

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