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Finding the Third Proportional to 825,097.50 and 1,312,825.50

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Solution

The third proportional to 825,097.50 and 1,312,825.50 is: 2,088,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,097.50 : 1,312,825.50 = 1,312,825.50 : x
  2. Step 2: Convert to fraction form
    825,097.50/1,312,825.50 = 1,312,825.50/x
  3. Step 3: Cross multiply
    825,097.50x = 1,312,825.50 × 1,312,825.50
  4. Step 4: Simplify right side
    825,097.50x = 1,723,510,793,450.25
  5. Step 5: Solve for x
    x = 1,723,510,793,450.25/825,097.50
  6. Step 6: Final answer
    x = 2,088,857.13

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.