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Finding the Third Proportional to 498,795.47 and 1,094,092.31

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Solution

The third proportional to 498,795.47 and 1,094,092.31 is: 2,399,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,795.47 : 1,094,092.31 = 1,094,092.31 : x
  2. Step 2: Convert to fraction form
    498,795.47/1,094,092.31 = 1,094,092.31/x
  3. Step 3: Cross multiply
    498,795.47x = 1,094,092.31 × 1,094,092.31
  4. Step 4: Simplify right side
    498,795.47x = 1,197,037,988,271.60
  5. Step 5: Solve for x
    x = 1,197,037,988,271.60/498,795.47
  6. Step 6: Final answer
    x = 2,399,857.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.