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Finding the Third Proportional to 867,441.66 and 1,296,164.53

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Solution

The third proportional to 867,441.66 and 1,296,164.53 is: 1,936,778.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,441.66 : 1,296,164.53 = 1,296,164.53 : x
  2. Step 2: Convert to fraction form
    867,441.66/1,296,164.53 = 1,296,164.53/x
  3. Step 3: Cross multiply
    867,441.66x = 1,296,164.53 × 1,296,164.53
  4. Step 4: Simplify right side
    867,441.66x = 1,680,042,492,070.53
  5. Step 5: Solve for x
    x = 1,680,042,492,070.53/867,441.66
  6. Step 6: Final answer
    x = 1,936,778.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.