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Finding the Third Proportional to 742,903.50 and 1,628,214

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Solution

The third proportional to 742,903.50 and 1,628,214 is: 3,568,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,903.50 : 1,628,214 = 1,628,214 : x
  2. Step 2: Convert to fraction form
    742,903.50/1,628,214 = 1,628,214/x
  3. Step 3: Cross multiply
    742,903.50x = 1,628,214 × 1,628,214
  4. Step 4: Simplify right side
    742,903.50x = 2,651,080,829,796
  5. Step 5: Solve for x
    x = 2,651,080,829,796/742,903.50
  6. Step 6: Final answer
    x = 3,568,539.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.