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Finding the Third Proportional to 746,756.50 and 1,133,985.75

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Solution

The third proportional to 746,756.50 and 1,133,985.75 is: 1,722,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,756.50 : 1,133,985.75 = 1,133,985.75 : x
  2. Step 2: Convert to fraction form
    746,756.50/1,133,985.75 = 1,133,985.75/x
  3. Step 3: Cross multiply
    746,756.50x = 1,133,985.75 × 1,133,985.75
  4. Step 4: Simplify right side
    746,756.50x = 1,285,923,681,203.06
  5. Step 5: Solve for x
    x = 1,285,923,681,203.06/746,756.50
  6. Step 6: Final answer
    x = 1,722,012.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.