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Finding the Third Proportional to 597,584.25 and 1,294,737.75

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Solution

The third proportional to 597,584.25 and 1,294,737.75 is: 2,805,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,584.25 : 1,294,737.75 = 1,294,737.75 : x
  2. Step 2: Convert to fraction form
    597,584.25/1,294,737.75 = 1,294,737.75/x
  3. Step 3: Cross multiply
    597,584.25x = 1,294,737.75 × 1,294,737.75
  4. Step 4: Simplify right side
    597,584.25x = 1,676,345,841,275.06
  5. Step 5: Solve for x
    x = 1,676,345,841,275.06/597,584.25
  6. Step 6: Final answer
    x = 2,805,204.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.