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Finding the Third Proportional to 838,110.94 and 1,810,184.06

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Solution

The third proportional to 838,110.94 and 1,810,184.06 is: 3,909,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,110.94 : 1,810,184.06 = 1,810,184.06 : x
  2. Step 2: Convert to fraction form
    838,110.94/1,810,184.06 = 1,810,184.06/x
  3. Step 3: Cross multiply
    838,110.94x = 1,810,184.06 × 1,810,184.06
  4. Step 4: Simplify right side
    838,110.94x = 3,276,766,340,129.00
  5. Step 5: Solve for x
    x = 3,276,766,340,129.00/838,110.94
  6. Step 6: Final answer
    x = 3,909,704.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.