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Finding the Third Proportional to 817,443 and 1,275,835.50

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Solution

The third proportional to 817,443 and 1,275,835.50 is: 1,991,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,443 : 1,275,835.50 = 1,275,835.50 : x
  2. Step 2: Convert to fraction form
    817,443/1,275,835.50 = 1,275,835.50/x
  3. Step 3: Cross multiply
    817,443x = 1,275,835.50 × 1,275,835.50
  4. Step 4: Simplify right side
    817,443x = 1,627,756,223,060.25
  5. Step 5: Solve for x
    x = 1,627,756,223,060.25/817,443
  6. Step 6: Final answer
    x = 1,991,277.95

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.