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Finding the Third Proportional to 772,491.94 and 1,677,973.22

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Solution

The third proportional to 772,491.94 and 1,677,973.22 is: 3,644,820.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,491.94 : 1,677,973.22 = 1,677,973.22 : x
  2. Step 2: Convert to fraction form
    772,491.94/1,677,973.22 = 1,677,973.22/x
  3. Step 3: Cross multiply
    772,491.94x = 1,677,973.22 × 1,677,973.22
  4. Step 4: Simplify right side
    772,491.94x = 2,815,594,122,842.24
  5. Step 5: Solve for x
    x = 2,815,594,122,842.24/772,491.94
  6. Step 6: Final answer
    x = 3,644,820.08

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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.