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Finding the Third Proportional to 2,711,263.50 and 3,917,628

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Solution

The third proportional to 2,711,263.50 and 3,917,628 is: 5,660,758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711,263.50 : 3,917,628 = 3,917,628 : x
  2. Step 2: Convert to fraction form
    2,711,263.50/3,917,628 = 3,917,628/x
  3. Step 3: Cross multiply
    2,711,263.50x = 3,917,628 × 3,917,628
  4. Step 4: Simplify right side
    2,711,263.50x = 15,347,809,146,384
  5. Step 5: Solve for x
    x = 15,347,809,146,384/2,711,263.50
  6. Step 6: Final answer
    x = 5,660,758.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.