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Finding the Third Proportional to 1,749,007.50 and 3,766,287

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Solution

The third proportional to 1,749,007.50 and 3,766,287 is: 8,110,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,007.50 : 3,766,287 = 3,766,287 : x
  2. Step 2: Convert to fraction form
    1,749,007.50/3,766,287 = 3,766,287/x
  3. Step 3: Cross multiply
    1,749,007.50x = 3,766,287 × 3,766,287
  4. Step 4: Simplify right side
    1,749,007.50x = 14,184,917,766,369
  5. Step 5: Solve for x
    x = 14,184,917,766,369/1,749,007.50
  6. Step 6: Final answer
    x = 8,110,266.98

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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.