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Finding the Third Proportional to 746,394.75 and 1,599,277.50

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Solution

The third proportional to 746,394.75 and 1,599,277.50 is: 3,426,723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,394.75 : 1,599,277.50 = 1,599,277.50 : x
  2. Step 2: Convert to fraction form
    746,394.75/1,599,277.50 = 1,599,277.50/x
  3. Step 3: Cross multiply
    746,394.75x = 1,599,277.50 × 1,599,277.50
  4. Step 4: Simplify right side
    746,394.75x = 2,557,688,522,006.25
  5. Step 5: Solve for x
    x = 2,557,688,522,006.25/746,394.75
  6. Step 6: Final answer
    x = 3,426,723.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.