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Finding the Third Proportional to 931,857.75 and 1,275,172.88

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Solution

The third proportional to 931,857.75 and 1,275,172.88 is: 1,744,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,857.75 : 1,275,172.88 = 1,275,172.88 : x
  2. Step 2: Convert to fraction form
    931,857.75/1,275,172.88 = 1,275,172.88/x
  3. Step 3: Cross multiply
    931,857.75x = 1,275,172.88 × 1,275,172.88
  4. Step 4: Simplify right side
    931,857.75x = 1,626,065,861,135.77
  5. Step 5: Solve for x
    x = 1,626,065,861,135.77/931,857.75
  6. Step 6: Final answer
    x = 1,744,972.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.