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Finding the Third Proportional to 825,209.44 and 1,262,336.06

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Solution

The third proportional to 825,209.44 and 1,262,336.06 is: 1,931,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,209.44 : 1,262,336.06 = 1,262,336.06 : x
  2. Step 2: Convert to fraction form
    825,209.44/1,262,336.06 = 1,262,336.06/x
  3. Step 3: Cross multiply
    825,209.44x = 1,262,336.06 × 1,262,336.06
  4. Step 4: Simplify right side
    825,209.44x = 1,593,492,334,688.00
  5. Step 5: Solve for x
    x = 1,593,492,334,688.00/825,209.44
  6. Step 6: Final answer
    x = 1,931,015.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.