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Finding the Third Proportional to 389,152.13 and 837,194.06

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Solution

The third proportional to 389,152.13 and 837,194.06 is: 1,801,079.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,152.13 : 837,194.06 = 837,194.06 : x
  2. Step 2: Convert to fraction form
    389,152.13/837,194.06 = 837,194.06/x
  3. Step 3: Cross multiply
    389,152.13x = 837,194.06 × 837,194.06
  4. Step 4: Simplify right side
    389,152.13x = 700,893,898,285.25
  5. Step 5: Solve for x
    x = 700,893,898,285.25/389,152.13
  6. Step 6: Final answer
    x = 1,801,079.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.