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Finding the Third Proportional to 1,808,777.25 and 3,766,400.44

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Solution

The third proportional to 1,808,777.25 and 3,766,400.44 is: 7,842,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808,777.25 : 3,766,400.44 = 3,766,400.44 : x
  2. Step 2: Convert to fraction form
    1,808,777.25/3,766,400.44 = 3,766,400.44/x
  3. Step 3: Cross multiply
    1,808,777.25x = 3,766,400.44 × 3,766,400.44
  4. Step 4: Simplify right side
    1,808,777.25x = 14,185,772,255,600.19
  5. Step 5: Solve for x
    x = 14,185,772,255,600.19/1,808,777.25
  6. Step 6: Final answer
    x = 7,842,741.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.