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Finding the Third Proportional to 1,032,508.50 and 2,214,481.50

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Solution

The third proportional to 1,032,508.50 and 2,214,481.50 is: 4,749,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032,508.50 : 2,214,481.50 = 2,214,481.50 : x
  2. Step 2: Convert to fraction form
    1,032,508.50/2,214,481.50 = 2,214,481.50/x
  3. Step 3: Cross multiply
    1,032,508.50x = 2,214,481.50 × 2,214,481.50
  4. Step 4: Simplify right side
    1,032,508.50x = 4,903,928,313,842.25
  5. Step 5: Solve for x
    x = 4,903,928,313,842.25/1,032,508.50
  6. Step 6: Final answer
    x = 4,749,528.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.