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Finding the Third Proportional to 822,471.47 and 1,226,861.44

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Solution

The third proportional to 822,471.47 and 1,226,861.44 is: 1,830,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,471.47 : 1,226,861.44 = 1,226,861.44 : x
  2. Step 2: Convert to fraction form
    822,471.47/1,226,861.44 = 1,226,861.44/x
  3. Step 3: Cross multiply
    822,471.47x = 1,226,861.44 × 1,226,861.44
  4. Step 4: Simplify right side
    822,471.47x = 1,505,188,986,824.57
  5. Step 5: Solve for x
    x = 1,505,188,986,824.57/822,471.47
  6. Step 6: Final answer
    x = 1,830,080.49

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Why These Related Problems?

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