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Finding the Third Proportional to 1,742,826.50 and 2,640,322

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Solution

The third proportional to 1,742,826.50 and 2,640,322 is: 3,999,996.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742,826.50 : 2,640,322 = 2,640,322 : x
  2. Step 2: Convert to fraction form
    1,742,826.50/2,640,322 = 2,640,322/x
  3. Step 3: Cross multiply
    1,742,826.50x = 2,640,322 × 2,640,322
  4. Step 4: Simplify right side
    1,742,826.50x = 6,971,300,263,684
  5. Step 5: Solve for x
    x = 6,971,300,263,684/1,742,826.50
  6. Step 6: Final answer
    x = 3,999,996.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.