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Finding the Third Proportional to 957,204 and 1,481,962.50

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Solution

The third proportional to 957,204 and 1,481,962.50 is: 2,294,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,204 : 1,481,962.50 = 1,481,962.50 : x
  2. Step 2: Convert to fraction form
    957,204/1,481,962.50 = 1,481,962.50/x
  3. Step 3: Cross multiply
    957,204x = 1,481,962.50 × 1,481,962.50
  4. Step 4: Simplify right side
    957,204x = 2,196,212,851,406.25
  5. Step 5: Solve for x
    x = 2,196,212,851,406.25/957,204
  6. Step 6: Final answer
    x = 2,294,404.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.