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Finding the Third Proportional to 1,005,142.50 and 2,167,749

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Solution

The third proportional to 1,005,142.50 and 2,167,749 is: 4,675,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,142.50 : 2,167,749 = 2,167,749 : x
  2. Step 2: Convert to fraction form
    1,005,142.50/2,167,749 = 2,167,749/x
  3. Step 3: Cross multiply
    1,005,142.50x = 2,167,749 × 2,167,749
  4. Step 4: Simplify right side
    1,005,142.50x = 4,699,135,727,001
  5. Step 5: Solve for x
    x = 4,699,135,727,001/1,005,142.50
  6. Step 6: Final answer
    x = 4,675,094.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.