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Finding the Third Proportional to 533,098.34 and 1,103,922.42

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Solution

The third proportional to 533,098.34 and 1,103,922.42 is: 2,285,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,098.34 : 1,103,922.42 = 1,103,922.42 : x
  2. Step 2: Convert to fraction form
    533,098.34/1,103,922.42 = 1,103,922.42/x
  3. Step 3: Cross multiply
    533,098.34x = 1,103,922.42 × 1,103,922.42
  4. Step 4: Simplify right side
    533,098.34x = 1,218,644,713,518.37
  5. Step 5: Solve for x
    x = 1,218,644,713,518.37/533,098.34
  6. Step 6: Final answer
    x = 2,285,966.08

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.