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Finding the Third Proportional to 827,597.25 and 1,112,157.84

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Solution

The third proportional to 827,597.25 and 1,112,157.84 is: 1,494,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,597.25 : 1,112,157.84 = 1,112,157.84 : x
  2. Step 2: Convert to fraction form
    827,597.25/1,112,157.84 = 1,112,157.84/x
  3. Step 3: Cross multiply
    827,597.25x = 1,112,157.84 × 1,112,157.84
  4. Step 4: Simplify right side
    827,597.25x = 1,236,895,069,414.65
  5. Step 5: Solve for x
    x = 1,236,895,069,414.65/827,597.25
  6. Step 6: Final answer
    x = 1,494,561.60

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.