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Finding the Third Proportional to 1,538,059.50 and 3,312,783

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Solution

The third proportional to 1,538,059.50 and 3,312,783 is: 7,135,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,059.50 : 3,312,783 = 3,312,783 : x
  2. Step 2: Convert to fraction form
    1,538,059.50/3,312,783 = 3,312,783/x
  3. Step 3: Cross multiply
    1,538,059.50x = 3,312,783 × 3,312,783
  4. Step 4: Simplify right side
    1,538,059.50x = 10,974,531,205,089
  5. Step 5: Solve for x
    x = 10,974,531,205,089/1,538,059.50
  6. Step 6: Final answer
    x = 7,135,309.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.