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Finding the Third Proportional to 825,483.38 and 1,100,750.63

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Solution

The third proportional to 825,483.38 and 1,100,750.63 is: 1,467,809.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,483.38 : 1,100,750.63 = 1,100,750.63 : x
  2. Step 2: Convert to fraction form
    825,483.38/1,100,750.63 = 1,100,750.63/x
  3. Step 3: Cross multiply
    825,483.38x = 1,100,750.63 × 1,100,750.63
  4. Step 4: Simplify right side
    825,483.38x = 1,211,651,938,437.89
  5. Step 5: Solve for x
    x = 1,211,651,938,437.89/825,483.38
  6. Step 6: Final answer
    x = 1,467,809.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.