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Finding the Third Proportional to 816,072.75 and 1,226,160

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Solution

The third proportional to 816,072.75 and 1,226,160 is: 1,842,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,072.75 : 1,226,160 = 1,226,160 : x
  2. Step 2: Convert to fraction form
    816,072.75/1,226,160 = 1,226,160/x
  3. Step 3: Cross multiply
    816,072.75x = 1,226,160 × 1,226,160
  4. Step 4: Simplify right side
    816,072.75x = 1,503,468,345,600
  5. Step 5: Solve for x
    x = 1,503,468,345,600/816,072.75
  6. Step 6: Final answer
    x = 1,842,321.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.