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Finding the Third Proportional to 774,424.22 and 1,677,533.81

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Solution

The third proportional to 774,424.22 and 1,677,533.81 is: 3,633,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,424.22 : 1,677,533.81 = 1,677,533.81 : x
  2. Step 2: Convert to fraction form
    774,424.22/1,677,533.81 = 1,677,533.81/x
  3. Step 3: Cross multiply
    774,424.22x = 1,677,533.81 × 1,677,533.81
  4. Step 4: Simplify right side
    774,424.22x = 2,814,119,692,080.79
  5. Step 5: Solve for x
    x = 2,814,119,692,080.79/774,424.22
  6. Step 6: Final answer
    x = 3,633,821.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.