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Finding the Third Proportional to 822,489.75 and 1,226,886.75

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Solution

The third proportional to 822,489.75 and 1,226,886.75 is: 1,830,115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,489.75 : 1,226,886.75 = 1,226,886.75 : x
  2. Step 2: Convert to fraction form
    822,489.75/1,226,886.75 = 1,226,886.75/x
  3. Step 3: Cross multiply
    822,489.75x = 1,226,886.75 × 1,226,886.75
  4. Step 4: Simplify right side
    822,489.75x = 1,505,251,097,325.56
  5. Step 5: Solve for x
    x = 1,505,251,097,325.56/822,489.75
  6. Step 6: Final answer
    x = 1,830,115.33

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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.